Become a Permutations and Combinations Master

Name: Become a Permutations and Combinations Master
Rating: 4.1 (43 reviews)

Learn everything from Permutations and Combinations with 60+ solved examples

Created byShilank Singh

Last updated 3/2025

English

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

Course content

13 sections • 50 lectures • 5h 46m total length

Learning Objectives1:13

Permutations - Definition, Result 1, Solved Example 113:22
Permutations - Result 1, Solved Example 23:26
Permutations - Result 1, Solved Example 33:52
Explore permutations through a solved example, applying plus and minus operations and key properties to simplify counting and arrangement.
Permutations - Result 1, Solved Example 4 and 52:57
Permutations - Result 2, Solved Example 1 and 25:37
Permutations - Result 3, Solved Example 1 and 25:05
Permutations - Result 4, Solved Example 1 and 29:15
Permutations - Result 4, Solved Example 35:13
Permutations - Result 4, Solved Example 48:16
Explore permutations with five letters by analyzing placements and when letters must stay together, and apply the fundamental principle of counting to determine the number of possible words.
Permutations - Result 5 (Circular Permutations), Part (i), Solved Example 15:49
Permutations - Result 5 (Circular Permutations), Part (i), Solved Example 23:47
Permutations - Result 5 (Circular Permutations), Part (ii), Solved Example 1, 25:02
Permutations - Result 6 (Circular Permutations), Solved Example3:34
Covers circular permutations by illustrating how to count arrangements around a circular table, examining when clockwise and anticlockwise orders are considered different, with solved examples.

Combinations - Definition, Result 114:10
Combinations - Result 1, Solved Example 1 and 210:27
Combinations - Result 1, Solved Example 3 and 46:52
Combinations - Result 1, Solved Example 5 and 65:44
Combinations - Result 2, Solved Example 1 and 27:06
Explore counting combinations with constraints using C(n, k) notation, through solved examples like selecting 11 players from 15 with one excluded and choosing six from 11 with two excluded.
Combinations - Result 3, Solved Example 1 and 24:57
Master combinations through solved examples, applying the fundamental principle of multiplication to count one-or-more selections, such as inviting friends or choosing items.
Combinations - Result 3, Solved Example 35:38
Apply rule three of combinations to an at-most-n books problem from two n plus one books, deduce 63 equals the binomial sum and find n equals 3.
Combinations - Result 4 and 5, Solved Example 1 each4:26
Combinations - Result 6, Solved Example 1 and 27:06
Explore combinations through solved examples and apply the fundamental principles of counting to determine how many ways one or more items can be selected from a set.

Application to Number Theory - Concept and Solved Example 18:25
Apply number theory concepts to a solved example, exploring divisors, prime factorization, coprime numbers, and counting formulas to determine divisor-related counts.
Application to Number Theory - Solved Example 21:43
work through solved example 2 on applying permutations and combinations to number theory, setting up the problem, manipulating expressions, and calculating counts step by step.
Application to Number Theory - Solved Example 32:13
Explore an application of permutations and combinations to number theory by counting ways to split a number into two coprime parts, using gcd and related formulas.

Division into Groups - Concept6:48
Division into Groups - Solved Example 1 and 27:08
Division into Groups - Solved Example 34:39
Explore division into groups with a solved example using a 52-card deck and selecting 17 cards. Use the 52 choose 17 combinations formula, noting order does not matter.
Division into Groups - Solved Example 46:56
Divide twelve items into groups of five and seven using the division into groups method, noting when order matters versus not, and extend to groups of five, four, and three.

Arrangement in Groups - Case 1, Solved Example 14:50
Arrangement in Groups - Case 2, Solved Example 19:18
Arrangement in Groups - Case 3, Solved Example 1 and 26:26
Arrangement in Groups - Case 3, Solved Example 37:37
Arrangement in Groups - Case 3, Solved Example 4 and 58:23
Arrangement in Groups - Case 3, Solved Example 65:27
Arrangement in Groups - Case 4, Solved Example 1 and 211:32
Arrangement in Groups - Case 5, Solved Example 14:16
Study arrangement in groups through solved example 1 from case 5, using binomial coefficients and the second form to determine the group configurations.

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 Counting
Factorial
Permutations including Circular Permutations
Combinations
Application to Number Theory
Division into Groups
Arrangements in Groups
Derangements
Multinomial Theorem
Number of Rectangles and Squares
Exponent of Prime p in n!
Important Results to remember

Who this course is for:

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

Become a Permutations and Combinations Master

What you'll learn

Explore related topics

Course content

Introduction1 lecture • 1min

Fundamental Principle of Counting1 lecture • 10min

Factorial1 lecture • 6min

Permutations13 lectures • 1hr 15min

Combinations9 lectures • 1hr 6min

Application to Number Theory3 lectures • 12min

Division into Groups4 lectures • 26min

Arrangement in Groups8 lectures • 58min

Derangements1 lecture • 8min

Multinomial Theorem3 lectures • 41min

Requirements

Description

Who this course is for: