Permutations & Combinations- Zero To Hero

Cambridge A Level Math (9709) Paper 5- Probability & Statistics 1 / Competitive Exams

What you'll learn

Background & Difference between Permutations & Combinations

Permutations & Combinations of Distinct & Identical Items with & without Repetitions

Advanced Level Questions of Arrangements & Selections with Restrictions

Circular Permutations

Complete Preparation of topic Permutations & Combinations in Paper 5- Probability & Statistics 1 of Cambridge A Level Maths (9709)

Preparation of Questions asked in Competitive Exams

Requirements

No Prior Knowledge required. You will learn everything in this course.

Description

Why Choose this Course?Permutations & Combinations is a topic in Advanced Math that is usually a nightmare for many students. The reason behind this is the complex nature of the topic itself and the improper strategy of the students towards this tricky topic. Students are unable to understand this topic and often get demotivated. If something is difficult or complex, you need a strategy to overcome it by breaking down it into smaller and simpler parts, and addressing and mastering each part separately until you are confident enough to go for all of them, and this is what I have done in this course. I have designed this course by breaking it into two categories that is based on nature of questions and based on difficulty level of questions. Through this strategy, the learner will not feel that it is a difficult topic because the course progresses very smoothly from lower complexity to higher complexity.What does this Course covers?Background of Permutations & CombinationsDifference between Permutations & CombinationsApplication of Factorial !, nPr Formula, nCr Formula, and other conceptual approachesArrangements & Selections of Alphabets, Numbers and objectsRow ( Straight Line) and Circular PermutationsReal Life Examples of Permutations:Seating / Parking / Books / Cards ArrangementsTossing Coins / Rolling diceCreating PasswordsStanding in a que ( Line)Real Life Examples of Combinations:Creating Different Teams ( Selecting People for teams)Sharing / Distributing Items between PeopleSelecting Dresses for wearingSelecting Meals from Menu at Restaurant

Overview

Section 1: Introduction

Lecture 1 Introduction

Lecture 2 Difference between Permutations & Combinations

Section 2: Permutations

Lecture 3 CASE A: Arrangement of Distinct Items (Part 1)

Lecture 4 CASE A: Arrangement of Distinct Items (Part 2)

Lecture 5 CASE B: Arrangement of Non-Distinct Items (Part 1)

Lecture 6 CASE B: Arrangement of Non-Distinct Items (Part 2)

Lecture 7 CASE C: Arrangement of a Sub-Set of Distinct Items

Lecture 8 CASE D: Arrangement of Distinct Items kept together

Lecture 9 CASE E: Arrangement of Non-Distinct Items kept together

Lecture 10 CASE F: Arrangement of Distinct Items kept separately (Part 1)

Lecture 11 CASE F: Arrangement of Distinct Items kept separately (Part 2)

Lecture 12 CASE G: Arrangement of Non-Distinct Items kept separately

Lecture 13 CASE H: Permutations with Restrictions on Distinct Items_Type 1 (Part1)

Lecture 14 CASE H: Permutations with Restrictions on Distinct Items_Type 1 (Part2)

Lecture 15 CASE H: Permutations with Restrictions on Distinct Items_Type 2

Lecture 16 CASE H: Permutations with Restrictions on Distinct Items_Type 3

Lecture 17 CASE H: Permutations with Restrictions on Distinct Items_Type 4

Lecture 18 CASE H: Permutations with Restrictions on Distinct Items_Type 5

Lecture 19 CASE I: Permutations with Restrictions on Identical Items

Section 3: Combinations

Lecture 20 Introduction to Combinations

Lecture 21 CASE A: No Restrictions

Lecture 22 CASE B: Multiple Selection Pool

Lecture 23 CASE C: More than One Selection [Adding Combinations] (Part 1)

Lecture 24 CASE C: More than One Selection [Adding Combinations] (Part 2)

Lecture 25 CASE D: Division into Groups

Lecture 26 CASE E: Including / Excluding Specific Items (Part 1)

Lecture 27 CASE E: Including / Excluding Specific Items (Part 2)

Lecture 28 CASE F: Selection with Repeated / Identical Items

Section 4: Permutations along with the use of Combinations

Lecture 29 CASE J: Arrangement of a Sub-Set of Identical Items

Lecture 30 CASE K: Arrangement of a Sub-Set of Distinct Items of Different Categories

Section 5: Miscellaneous Questions- Easy

Section 6: Miscellaneous Questions- Intermediate

Lecture 31 Intermediate Solved Examples Part 1

Lecture 32 Intermediate Solved Examples Part 2

Lecture 33 Intermediate Solved Examples Part 3

Lecture 34 Intermediate Solved Examples Part 4

Section 7: Miscellaneous Questions- Difficult

Lecture 35 Difficult Solved Examples Part 1

Lecture 36 Difficult Solved Examples Part 2

Lecture 37 Difficult Solved Examples Part 3

Lecture 38 Difficult Solved Examples Part 4

Section 8: Additional Course Content for Competitive Exams only

Lecture 39 Circular Permutations

Lecture 40 Ring Permutations (Necklace / Garland / Key Bunch Arrangements)

Lecture 41 Formulae & Theoretical Relations

Lecture 42 Competitive Exams Solved Examples Part 1

Lecture 43 Competitive Exams Solved Examples Part 2

Highly recommended for Cambridge A Level Students learning Mathematics (9709) Paper 5- Probability & Statistics 1,Students Preparing for Competitive Exams / Entry Tests of various Universities,Anyone who wants to learn Permutations & Combinations from Scratch,Anyone who wants to improve the concepts of Permutations & Combinations