Become A Permutations And Combinations Master

Learn everything from Permutations and Combinations with 60+ solved examples

What you'll learn
Fundamental Principal of Counting
Factorial
Different cases of Permutations such as word formation, Circular Permutations, etc.
Different cases of Combinations such as selection of teams.
Application of Permutations and Combinations to Number Theory
Division into Groups
Arrangements in Groups
Derangements
Application of Multinomial Theorem to solve problem of Permutations and Combinations
To find number of rectangles and squares in a given block of squares arranged in the form of rectangles or squares
Exponent of Prime p in n!
Some other important results
Requirements
Fundamental of Maths
Basic Arithmetics
Description
HOW BECOME A PERMUTATIONS AND COMBINATIONS MASTER IS SET UP TO MAKE COMPLICATED PROBABILITY AND STATISTICS EASY


This course deals with concepts required for the study of Probability and Statistics. Statistics is a branch of science that is an outgrowth of the Theory of Probability. Permutations and Combinations are used in both Statistics and Probability ; and they in turn involve operations with factorial notation.
This 50+ lecture course includes video explanations of everything from Permutations and Combinations, and it includes more than 60+ examples (with detailed solutions) to help you test your understanding along the way. Become a Permutations and Combinations Master is organized into the following sections:


Fundamental Principle of CountingFactorialPermutations including Circular PermutationsCombinationsApplication to Number TheoryDivision into GroupsArrangements in GroupsDerangementsMultinomial TheoremNumber of Rectangles and SquaresExponent of Prime p in n!Important Results to remember




Overview

Section 1: Introduction

Lecture 1 Learning Objectives

Section 2: Fundamental Principle of Counting

Lecture 2 Fundamental Principle of Counting

Section 3: Factorial

Lecture 3 Factorial

Section 4: Permutations

Lecture 4 Permutations - Definition, Result 1, Solved Example 1

Lecture 5 Permutations - Result 1, Solved Example 2

Lecture 6 Permutations - Result 1, Solved Example 3

Lecture 7 Permutations - Result 1, Solved Example 4 and 5

Lecture 8 Permutations - Result 2, Solved Example 1 and 2

Lecture 9 Permutations - Result 3, Solved Example 1 and 2

Lecture 10 Permutations - Result 4, Solved Example 1 and 2

Lecture 11 Permutations - Result 4, Solved Example 3

Lecture 12 Permutations - Result 4, Solved Example 4

Lecture 13 Permutations - Result 5 (Circular Permutations), Part (i), Solved Example 1

Lecture 14 Permutations - Result 5 (Circular Permutations), Part (i), Solved Example 2

Lecture 15 Permutations - Result 5 (Circular Permutations), Part (ii), Solved Example 1, 2

Lecture 16 Permutations - Result 6 (Circular Permutations), Solved Example

Section 5: Combinations

Lecture 17 Combinations - Definition, Result 1

Lecture 18 Combinations - Result 1, Solved Example 1 and 2

Lecture 19 Combinations - Result 1, Solved Example 3 and 4

Lecture 20 Combinations - Result 1, Solved Example 5 and 6

Lecture 21 Combinations - Result 2, Solved Example 1 and 2

Lecture 22 Combinations - Result 3, Solved Example 1 and 2

Lecture 23 Combinations - Result 3, Solved Example 3

Lecture 24 Combinations - Result 4 and 5, Solved Example 1 each

Lecture 25 Combinations - Result 6, Solved Example 1 and 2

Section 6: Application to Number Theory

Lecture 26 Application to Number Theory - Concept and Solved Example 1

Lecture 27 Application to Number Theory - Solved Example 2

Lecture 28 Application to Number Theory - Solved Example 3

Section 7: Division into Groups

Lecture 29 Division into Groups - Concept

Lecture 30 Division into Groups - Solved Example 1 and 2

Lecture 31 Division into Groups - Solved Example 3

Lecture 32 Division into Groups - Solved Example 4

Section 8: Arrangement in Groups

Lecture 33 Arrangement in Groups - Case 1, Solved Example 1

Lecture 34 Arrangement in Groups - Case 2, Solved Example 1

Lecture 35 Arrangement in Groups - Case 3, Solved Example 1 and 2

Lecture 36 Arrangement in Groups - Case 3, Solved Example 3

Lecture 37 Arrangement in Groups - Case 3, Solved Example 4 and 5

Lecture 38 Arrangement in Groups - Case 3, Solved Example 6

Lecture 39 Arrangement in Groups - Case 4, Solved Example 1 and 2

Lecture 40 Arrangement in Groups - Case 5, Solved Example 1

Section 9: Derangements

Lecture 41 Derangements - Concept, Solved Example 1

Section 10: Multinomial Theorem

Lecture 42 Multinomial Theorem - Concept and Solved Example 1

Lecture 43 Multinomial Theorem - No. of Solution of Equation - Concept and Solved Example 1

Lecture 44 Multinomial Theorem - No. of Solution of Equation - Solved Example 2

Section 11: Number of Rectangles and Squares

Lecture 45 Number of Rectangles or Squares - Concept and Solved Example

Section 12: Exponent of Prime p in n!

Lecture 46 Exponent of Prime p in n! - Solved Example 1 and 2

Lecture 47 Exponent of Prime p in n! - Solved Example 3

Lecture 48 Exponent of Prime p in n! - Solved Example 4

Section 13: Important Results to Remember

Lecture 49 Important Results to Remember - Result 1, 2, 3 and Solved Example

Lecture 50 Important Results to Remember - Result 4 and solved Example 1

Current Permutations and Combinations students, or students about to start Permutations and Combinations who are looking to get ahead,Students of Probability and Statistics, as Permutations and Combinations is the prerequisite course to Probability and Statistics.,Anyone who wants to study maths and statistics for fun after being away from school for a while