This Permutations and Combination Problems Solving Tutorial will teach us how to write 3 digit numbers from set of 5 first natural numbers if repetition is allowed and next time not allowed.
There are so many types of permutations and combination problems, where the very conditions are if letters or numbers are allowed to repeat and not allowed.
When letters or digits are allowed to repeat, we can write the same digits or letter again and again, so total number of ways or total numbers get increased but when repetition is not allowed, we get lack of number or letter every time giving us less numbers .
Here in this permutations and combinations problems, we learn to write 3 digit numbers from first 5 natural numbers, exactly in similar way, explained above.
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Learn to Solve Permutations and Combinations Problems in Mathematics. This tutorial will show you how to find total 3 digit even numbers if repetition of the digits are not allowed.
This question we are solving by principle of counting method. We have 6 digits, 1,2,3,4,5,6 and we have to make 3 digit even number.
As, we have to make even number so, the once place of the 3 digit number must be a even number either 2 or 4 or 6 , it can be written in 3 ways
But, as repetition is allowed, we can write tense place by 6 ways and so does hundredth place.
So total 3 digit even numbers that we can write is 6.6.3 = 108.
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Learn first use of Dimensional Analysis - checking the correctness of a physical equation. There are four basic uses of dimensional analysis out of which we learnt one here in this video, other 3 we will discuss in other lessons.
Dimensional analysis is a very important tool for learning about any physical quantity in physics. It is very important to grab the knowledge of Dimensional analysis before starting our adventure in physical world.

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Learn what is Identity function & its Graph in easy concept in the chapter of Relation and functions in mathematics.This video will introduce you Identity function is easy language. Identity function simply can be defined as a function whose DOMAIN & RANGE are same. And the graph of the identity function is always a pretty straight line going crossing the exactly between x & y. The equation of identity function in mathematics is f(x), x= y.
Learn more about Identity function and see examples in the video including the graph of the identity function.
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Fast Math Multiplication Videos Tutorials - This is a unique fastest mental math multiplication trick which will teach you to multiply in your head taking number from 0 to 10. There are many fast mental math calculation methods, this one will teach you to multiply any two digit number by 9.
Steps of The Fastest Mental Multiplication Tricks:
1. Imagine 1 to 10 number line in brain.
2. Write in brain first digit of the two digit whose fast multiplication by 9 we need to do.
3. Figure out the total number of digits between first and second digits. Like if its 25 then there are 3 & 4 , two digits in the middle , so write the difference number there ( here 2)
4. Now , figure out how many digits are more to reach 10 from second digit and also write it down .
5. See the 3 figure number, that's you answer.
6. sometime the difference between first and second digit can be zero. like 45, in such cases write zero.
There is condition to apply this fast mental multiplication trick
- The Ones Digit should be bigger than tens. I mean you can apply this trick to 39 but not 93, this rule will apply for 49 but not for 94.
Subscribe to get more updates on fastest math multiplication and calculation tricks.
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Learn to Use Permutation Formula to solve Permutations & Combinations Problems. This tutorial will teach you to solve question by both way, first we learn by formula method and second we solve the same question by Fundamental Principle of Counting.
We use permutation formula -
P(n,r) = n!/(n-r)! to solve arrangement related questions and same question also be solved by old methods of solving permutations and combinations problems by Fundamental Principle of Counting numbers.
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This Permutations and Combination Problem Solving Tutorial will guide you to generate total possible 4 letter code. In this question, we have to make any 4 digit code with the first 10 alphabets of English Language.
So the first letter of the code can be generated by 10 ways, then 2nd letter can be generated in 9 ways and similarlly 8 & 7. so total number of 4 digit code that we can generate if repetition is not allowed is 10.9.8.7 = 5040.
If you have any doubt or question to ask about above video lesson about solving factorials then please feel free to ask in comment section below.
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Learn Tricks to Write/Find Domain & Range of a Function

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There are two tricks to find the multiplicative inverse of complex number. First method is faster using the formula and the second method is manual calculation. To find the multiplicative inverse by formula then you have to use this formula to find multiplicative inverse -
M.I = Conjugate of Z / Square of Absolute value of Z
Another trick is very simple , just divide and multiply by the conjugate of the complex, after writing the multiplicative inverse format of the complex number. This method of finding multiplicative inverse may be a bit longer.

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Learn FASTEST TRICK to Convert Kilograms (KG) to Pounds (Lbs) - This Fast Math Calculation Trick Tutorial will guide you step by step to convert KG( kilograms) to Pounds by quick method.For more quick math tips Click Subscribe - http://bit.ly/14qadu2.
One can easily convert KG to LBS by simply multiplying by 2.2, but a lot of people can't do that directly, so we sometimes try to go through steps.
There are 3 exact simple easy steps to convert Kilograms into Pounds.
Step 1 - Double to KG
Step 2 - Divide Answer of Step 1 by 10
Step 3 - Add Answers of step 1 & 2. That's the final solution, the pounds converted from Kg.
Alone one thing you need to keep in mind that the unit conversion is done by this method is not absolutely accurate, but this is the approximate value of converting kg to lbs.
We need to learn so many such other quick mathematics unit conversion tricks. Stay tuned by subscribing me.
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Trick to Remember TRIGONOMETRY TABLE - This Trigonometry table video lesson helps you to write & remember the trigonometric ratios of different angles from 0 degrees to 90 degrees without remembering any thing in the brain.
In the previous video, we have remembered the sine table but here I am saying nothing to remember to write the trigonometric table.
To write the trigonometric table from 0 - 90 for all trigonometric ratios namely sine, cosine, tangent, co- secant, secant, we simply have to write the o 1, 2, 3, 4 in each table from 0 degrees to 90 degree, and then divide each by 4 and take square root of that.. that leads us to the sine ratios of the angle. Cosine ratios is just decreasing order from 90, and tangent is the ratios of sine to cosine. Similarly, trigonometric ratio co-secant is the reciprocal of sine and trig ratio sec & cot is reciprocal of cosine and tangent respectively.
I hope this trigonometric table - writing and remembering trick will help you to enhance knowledge in trigonometry.
▶️ All TRIGONOMETRY VIDEO LESSONS - https://www.youtube.com/watch?v=9OBvVbUMW9Q&list=PL71ACD1D73E07246C
▶️ How to solve TRIGONOMETRY IDENTITY PROBLEMS - https://www.youtube.com/watch?v=J7Q0uClGWuk
▶️ FASTEST WAY TO REMEMBER TRIGONOMETRIC FORMULA - https://www.youtube.com/watch?v=tL0duMIZZhI
▶️FAST MULTIPLICATION TRICKS
https://www.youtube.com/watch?v=auIfxnX0rjc
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Learn Permutations & Combinations Questions - This tutorial will teach you to create a telephone directory. This problem can be solved by Fundamental principle of Counting or by formula of permutation. This Problem ask us to create 5 digit telephone numbers as much possible from all digits 0-9, with a condition that each number should start with 67.
This Permutations and combination question 's solution is well explained in this video, please take a look nicely. We deal so many such similar problems , where we get condition application, and question becomes tougher to solve,
But let me tell you a simple Permutation and Combination trick, to solve such question, if two digit or letter are fixed all ready then, imagine then as a one,then count rest of the digits or letters to be arranged. This will make your solution easier
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Learn Fundamental Principle of Counting in Permutations and Combinations Mathematics. - This video will teach you Fundamental Principle of Multiplication, a very important concept before starting to learn Permutations and Combinations Basics in Mathematics.
This tutorials is helpful for all those people who are starting to learn this new chapter Permutations & Combinations. Tutorials are arranged from basic concepts to higher level of tricks to master the chapter.
This is the very first Permutations and combinations tutorials which introduces with Fundamental principle of counting which are again of two types -
1. Multiplication
2. Addition
This lecture includes only the first part- principle of multiplication and will introduces what is permutation, which means simply arrangement in mathematics.
Fundamental principle of counting ( Multiplication) states that if one even can occur in m ways and another even occur in n ways then both even can occur in m*n ways.
This principle of counting can be applied in so many mathematical problems of arrangements, some of the examples has been explained in this video as well.Generally students learn Fundamental principle of counting in class 11, before starting to learn Permutations and Combinations.
For Complete Video lectures playlist on Fundamental Principle of counting -
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Learn to Solve permutation combination problems- This tutorial will show you all the methods to indicate two flag signals out of 6 flags of different colors. While creating signal, both color should be different. So first flag can be chosen any from 6 , so we have 6 ways to choose first signal flag and since we can not repeat color so , now we are left with 5 color for another signal, so altogether , from fundamental principle of counting we have, 6.5 = 30 methods to indicate signals with 2 flags of different colors.
There are similar so many types of Permutations and Combination Problems, we are learning to solve each type of question from this math chapter by both using permutation formula or by Fundamental Principle of Counting.
If you have any doubt or question to ask about above video lesson about solving factorials then please feel free to ask in comment section below.
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Learn 3 Methods to Represent a relation in mathematics. This relations and function video lesson will teach you 3 general methods we follow in school level mathematics to represent any relation. Those are -
1. Arrow Diagram Method ( Balloon Method)
2. Set Builder Method
3. Roster Method.
All the ways / methods of representing a relation in math is explained and illustrated very well in above video lesson.
I believe you will like this relations and function video lesson series and please if you have any doubt to ask me regarding this lesson of mathematics, Please feel free to ask in comment section below.
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Learn What is Factorial in Mathematics ? and what is Zero Factorial ? Learn Basic concepts of factorials, which are very important to learn Permutations and combination mathematics.
In mathematics, Factorial of means the continuous product of n natural numbers. It is represented by "!" symbol in mathematics, We have other symbol to denote factorial as well.
If I am writing factorial of 3, then I will write like - 3! and it's equal to 3.2.1
3 ! = 3.2.1
7! = 7.6.5.4.3.2.1
Now, Zero factorial is equal to 1. Its very hard to define zero factorial but yes we can prove zero factorial ( 0 !) is equal to 1.
We will learn more about the properties of factorial in our upcoming videos.
The above Permutations & combination concepts are very important to learn for better understanding of our further lesson.
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http://itsmyacademy.com/dimensional-analysis-physics-videos/
This Physics Lesson States & describes the "Principle of Homogeneity" Dimensional Analysis Physics.We discuss uses of this principle, and requirements of principle of homogeneity with examples.
Principle of Homogeneity states that- 'the dimensional formula for every term of both sides of a correct physical relation must be same"
We have a great use of this physics principle for checking correctness of an equation.

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Learn what is limit in calculus. Learn basic concepts of Limits for Pre Calculus. This Limits Lecture will introduce you what is limit of a function in mathematics. This is the first conceptual video required to start learning calculus. Limits & Continuity is very important concepts of pre calculus math.
We need concept of limits to understand the continuity of a function, then we use basic idea of limits to understand derivative ( differentiation) and anti-derivative ( integration) in calculus.
A limit in calculus looks at what happens to a function when the input approaches a certain value.
Limits in calculus are of two types one left hand limit and other right hand limits. To find the limit of any point we need to have the right hand limit equal to left hand limit. Then only we can define at certain point limits of calculus.
here in the video I have discussed the introduction to limits of calculus. I hope you are understanding what is exactly limit in calculus.
Limits in calculus is really an integral part. From limits only we start the calculus of mathematics. After learning limits in calculus only we can understand the fundamentals of calculus.
Limits is just the approaching value of certain function at certain value.
To find the limits in calculus of any function at any point we simply plug the approaching value in the function.
Once we get right hand limit and left hand limit equal then we say there limit exist other wise limit do not exit in calculus.
About limits in calculus I have also illustrated it here by the graphs that will make you more clear in the concept of limits in calculus.
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Systematic Limits & Continuity Video Lectures Playlist - https://www.youtube.com/watch?v=AyC6z4dVJN8&list=PLXcAypFGY57F6DSZRp-KB1gnUGr-URJH3&index=3

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Constant function (f) is a such function whose range is always same, never changing, no matter of what member is in domain the range of the function is always constant. The example of a constant function of mathematics in real life is , suppose in your family , you have one father, one mother and few children. Now if we make a function between children and mother, you will get a constant function.
Let's say A = is a set of children = { anil, sunil, gita, sita}
B = { mother}
now let's define a function F from child to mother.
F(anil) = Mother
f (sunil) = mother
f(gita) = mother . etc for every child , the function gives one mother. This is what is called constant function. I hope this lessons on relations and functions gives you some idea.
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Learn Fundamental Principle of Counting (Addition) before learning Permutations & Combination in Mathematics. This video will introduce you what is this principle and how to use this principle while learning Permutations and Combinations Math.
The Fundamental principle of addition states that -if there are two events which can occur independently by m & n ways, then either of the two events can occur in (m+n) ways.
These principle are very useful while solving question of arrangements in mathematics. This is the reason we learn this principle before learning Permutations and Combinations.
For Complete Video lectures playlist on Fundamental Principle of counting -
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Let's Learn What is Signum Function in the chapter of Relation and Function. Signum function is defined from real numbers to real numbers. The domain of the signum function is mathematics is complete real numbers but range of the function restricts only in 3 results : (-1,0,1). And there are condition when the range is -1, when 0 or when 1.
Mathematicians defines Signum function like
F(x) = IxI/x where x never be 0, and x = real number.
For the detail information graph of the signum function, please watch the video.
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Proof of Permutation Theorem - Learn Permutation Formula Derivation. This video will guide will guide you step by step in getting the proof this formula. In this previous lecture we had learnt the introduction to permutations in math, now based on that concept we are learning Permutations theorem here and we learn Permutations Formula Derivation, which is -
P(n,r) = n!/(n-r)!, here n = total number items present & r = items taken at a time.
In permutation item represent any things that is to be arranged, may be letter, words, digits, number etc.
This Permutation is very useful in solving different types of question related to permutations mathematics.
I believe this Combination and Permutation tutorial was helpful for you.
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This Physics Lesson teaches -- 2 tricks to write dimensional formula of Universal Gravitational Constant, first using unit of G and another using formula involving G, which is Newton's Universal Gravitational Law Formula. Many times in examination, you will see question paper asking the dimensional formula of Universal Gravitation Formula. So better get prepared.

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Permutations & Combinations Tutorials - Learn to color a flag by fundamental principle of counting. This video will show you to solve permutations questions. Permutations question can be solved in two ways -
1. By Fundamental Principle of Counting
2. Permutations Formula
In this video lesson we try to solve permutations & combination math question by Fundamental principle of Counting Numbers.
In above question, we have got a flag to color with 3 different color and we have option to choose 6 colors. Now, question ask us, how many total ways are there to solve this permutations and combination math question. Complete solution is explained in above video.
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Fast Mathematics Tricks - This video tutorial will teach how to multiply any number between 10- 20 by any digit quickly if you don't know the multiples table.
Click to watch more Fast Math Calculation Techniques - http://bit.ly/199rGsJ
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Permutations & Combinations Tutorials - Learn total ways to write 4 letter word ROSE, with our without meaning, where repetition of letters are not allowed. To solve these type of permutations & combination math chapter's question, we have to method-
1. Using Fundamental Principle of Counting
2. Use Permutation Formula
In this video tutorial, we use 1st method to solve this question. There can be created so many different 4 letter words with or without meaning from letters R , O, S, E.
While solving this question, we can write the first letter in 4 ways, since repetition is not allowed , the second letter can be written in 3 ways, similarly, 3 letter can be written in 2 ways and then last one in 1 ways, which ultimately, gives us total 4.3.2.1 = 24 ways to write the 4 letter word from letters of ROSE.
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Learn Permutations Question - This Permutation & Combination Tutorial will teach you to solve question based on arrangements. This video is based on a formula for permutations -
P(n,r) = n!/(n-r)!, here, n = total number of items to be arranged
& r = items to be arranged at a time
We will learn to solve this permutations formula and related question. This video will teach you the first time of question asked in permutations math chapter, which is evaluating. The video has tried well to explain this . I hope you will like them.
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This Permutations & Combination Lecture will make you Learn Permutations Theorems (3rd), which states that, if there are n objects of 3 different kind, first p number of one kind, q number of 2nd kind, and r number of 3rd kind then, total permutations of arranging such objects is given by -
= n!/p!*q!*r!
This is very nice Permutations and Combination Trick to find quickly the total number of arranging different of objects of different set , together.
This Permutations Theorem with formula is well explained in the video, I hope you will understand them. Please learn it nicely, these works like fast tricks to solve permutations and combinations problems.
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Learn to use Fundamental principle of Counting to solve Permutations & Combinations Math Question. This video will teach you how a man can enter into a room from 6 different doors and can go with another.
This permutations question can be solved by two ways -
1. Fundamental Principle of Multiplication
2. Permutation Formula of P(n,r)= n !/ (n-r)!
For Complete Video lectures playlist on Fundamental Principle of counting -
http://www.youtube.com/playlist?feature=edit_ok&list=PLXcAypFGY57EAX5qFjo9YAEvsF5wVoDUQ
For complete Tutorials Playlist on Permutations and Combinations -
http://www.youtube.com/playlist?list=PLXcAypFGY57FOPbZdI0uZiOoKQzVTAmWv&feature=edit_ok
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ItsMyAcademy.com provide free video lectures on various topics of Mathematics, Physics, Chemistry and other academic courses.
Please feel free ask any question regarding the above video.

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http://itsmyacademy.com/trigonometry/- For List of complete Trigonometry video tutorials.
Trigonometry Identity are easy as well as difficult depending on question and your techniques of trigonometry solving. I hope you have good command over trigonometry identity problems.
In this video I have tried to solve a very simple trigonometry identity proving problems, where we have to show left side trigonometry expression equal with right side trigonometric expression.
To solve this trigonometry proving problems you need to know folying trigonometry identities ,
1. tan = sin / cos
2. 1 - sin square = cos square
3. 1 - cos square = sin square
Use these trig identities properly I m sure you will easily solve this trig identity proving problem.
I hope this trigonometry video has been able to help you a little.

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Learn Relations in Mathematics - This video will introduce you & give you definition of Relations in mathematical concept way. We will learn the terms and symbols related to a Mathematical relation. After watching the complete video lesson , you will understand very well the basics of relation, what is relation in mathematics and how this math video lecture is going to help you to you to understand Function.
A relation is defined as the subset of the Cartesian product of two non-empty sets.
The set through which we build up the relations is called domain.
The set to which the relations is built up is called co-domain.
And the set of members of the co-domain which are in relationship with members of domain is called range.
A relations can be represented , generally, by 3 ways :
1. Arrow Diagram Method ( Balloon Method)
2. Set Builder Method
3. Roster Method.
These are the concept of relation of mathematics we will learn in this relations and functions video lesson.
I believe you will like this lesson and please if you have any doubt to ask me regarding relation before learning Function chapter of mathematics, Please feel free to ask.
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Justifying Answer video for Dimensional Analysis question. This Dimension question simply means when we add length with length we get length and when we subtract length from length we get length. That's the simple concept of physics hidden in this question. We are discussing sitting on the frame of Physics rather than mathematics , so from physics, point of view its true may be wrong to justify from mathematical point of view.

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Learn Permutation Theorem 2 - This Permutations & Combination Lecture will teach you 2nd theorem which states " The total arrangement of n different objects taken r at a time if repetition is allowed is n^r ",
Here, n = total number of objects present to be arranged
r = number of objects arranged at single time
If you have any doubt or question to ask about above video lesson about Permutations Theorems, then please feel free to ask in comment section below.
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Position Vector- To give the location of a point in coordinate axis you need position vector.

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Dimensional analysis in Physics is a very essential tool. This Physics Lesson introduces with types of physical quantities, meaning of dimension, what is the importance of dimension, why do we learn dimensions etc. Its basic introductory video for learning dimensional Analysis.
Systematic Videos at Dimensional Analysis Playlist - http://goo.gl/OHfW3
There are two types of physical quantities -- Fundamental Quantities ( Primary) & Derived Quantities ( Secondary).
Those quantities which are independent completely are called Fundamental Quantities and there are seven fundamental quantities in our universe we have made for easy learning physics -- Mass, length, Time, Current, Intensity of Light, amount of substance & temperature.
There are special symbol & square bracket used for representing these fundamental quantities like --
[M] for mass
[L] for length
[T] for time
[A] for current
[Cd] for Candela, unit of intensity of light
[Mol] for amount of substance
To study dimensional analysis we take mass, length and time as fundamental quantities of every other derived physical quantity.
Derived Quantities in physics are those quantities which depend on fundamental quantities. For example velocity is a derived quantity because --
Velocity = distance / time, it involves fundamental quantities like distance (length) and time.
We have a method in physics writing these physical quantities in the form of M, L & T. And the power raised (exponent) to these fundamental quantities are called Dimensions.

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http://SkyingBlogger.Com - This is the 1st trigonometric identity that is Sin2A + Cos2A = 1. We are proving or deriving the trigonometric identity in this video. This is the most usable trigonometric identiy.

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http://ItsMyAcademy.Com - for free systematic study of geometric sequence
Geometric Sequence is a major portion of sequence and series chapter. A sequence in which the ratio of succeeding term over preceding term is constant , is called geometric sequence. the constant ratio through our the geometric progression is called common ratio of the geometric sequence.
This video will give you a introduction to geometric sequence. I hope this geometric sequence video will help you to understand it - geometric sequence.

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http://itsmyacademy.com/trigonometry/- For List of complete Trigonometry video tutorials.
This is a proving problem trigonometry video using trigonometric identity. But here we also have to use some trigonometric ratios of complementary angle relationships.
I hope this trigonometry tutorial video helped you a little in solving trigonometry identities problems.

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DIMENSIONAL ANALYSIS PHYSICS TUTORIAL - Two methods of writing dimensional formula of any physical quantity with the very good example to understand simply. One is quick method while other is little lengthier.
▻For Systematic Videos Playlist of Dimensional analysis - http://goo.gl/OHfW3
▻Concept of Dimensional Analysis - https://www.youtube.com/watch?v=40Q0XR0vcVc&t=2s
▻First Use of Dimensional Analysis https://www.youtube.com/watch?v=tyrlZgL_qUA
▻Second use of dimensional formula - https://www.youtube.com/watch?v=kJvsmUO2nlo
1. Quick Method of Writing Dimensional Formula -- For this, we should know the unit of the physical quantity. We break the units into base form, into fundamental physical quantities form and then we just write the dimensional formula as we come to know, what makes that physical quantity. For e.g.- Speed has unit m/s -- which means length/time so, dimensional formula of speed will be [L,T-1].
2. Longer method of Writing Dimensional Formula -- for this we need to know the formula of the physical quantity. Then , we put the dimensional formula of each and every physical quantity involved in the formula, that solving results us the dimensional formula of the required physical quantity. For e.g. -- acceleration = speed/ time = dimensional formula of speed/ dimensional formula of time = [L,T-1]/[T] = [L, T-2]

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http://ItsMyAcademy.com/Set-Theory/ For List of Set Theory Tutorial videos. Symmetric difference is a set operation which means - If there are two set A & B then union of A-B & B-A. If we pictures symmetric difference of two sets in venn diagram then we will get the all the region of both sets except common part. This video has tried to show the region in venn diagram take a look properly.

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Learn Uses of Dimensional Analysis. There are 4 uses :
1. Its is used for converting one system of unit to another system of unit.
2. It is used for checking accuracy of various formula
3. Dimensional analysis is also used to derive relationship between two physical quantity.
4.To find out dimensions of physical constants in a given physical relation

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