Master Permutations, Combinations & Probability Basics

Algebra 2: Step by step guide to Master Permutation, Combination & Probability for GMAT, CAT, GRE & Competitive Exams

What you'll learn
Permutations (Fundamental principles of counting, Arrangement in a row, Conditional Permutations, Circular Permutations etc.)
Combinations (Properties of C (n, r), Basic Problems on Combinations, Combination Problems with restrictions etc.)
Problems involving both Permutations and Combinations (Simple problems, Highly Skilled Problems)
Probability (Empirical, Theoretical Probability, Coins, Dice, Algebra of Events based on Set Theory, Sample Space, Mutually Exclusive Events, Odds in favor and Odds against, P(AUB) or P(AUBUB) etc.)
Conditional Probability and Baye’s Theorem (Multiplication Theorem on Probability, Independent Events etc.)
The Law of Total Probability and Baye’s Theorem
GMAT – Past Paper Problems
Requirements
Basic knowledge of Mathematics (upto middle school)
Description
This course is carefully designed to cover all the fundamental concepts of Permutations, Combinations & Probability.It has 81 lectures spanning 9+ hours of on-demand videos that are divided into 8 sections along with a special section on GMAT Past Paper problems. Each topic is explained extensively - by solving multiple questions along with the student during the lectures. The students are also provided and encouraged to solve practice questions & quizzes provided at the end of each topic.Topics covered in the course:PermutationsFundamental principles of countingArrangement in a rowPermutations of objects not all DistinctConditional PermutationsFormation of numbers with different restrictionsCircular PermutationsChallenging Problems on PermutationCombinationsProperties of C (n, r)Basic Problems on CombinationsCombination Problems with restrictionsChallenging questions on CombinationProblems involving both Permutations and CombinationsSimple problemsHighly Skilled ProblemsProbabilityEmpirical ProbabilityTheoretical ProbabilitySome Important terms of ProbabilityCoins and Simple Problems on CoinsDice short TricksAlgebra of Events based on Set TheorySample SpaceMutually Exclusive EventsProbability based on numbersOdds in favor and Odds againstProbability Based upon Permutation or arrangementsProbability based on combinations or selectionProblems on Balls using combinationsProblems involving P(AUB) or P(AUBUB)Conditional Probability and Baye’s TheoremConditional ProbabilityPractice Problems on Conditional ProbabilityMultiplication Theorem on ProbabilityPractice Problems on Multiplication TheoremIndependent EventsPractice Questions on Addition & multiplication TheoremThe Law of Total Probability and Baye’s TheoremThe law of total ProbabilityPractice Problems on the Law of Total ProbabilityBaye’s TheoremPractice Problems on Baye’s TheoremGMAT – Past Paper ProblemsGMAT Problems (step by step solutions of 20 problems)Here's what some students say about the course:"Great! Very good explanations with great care in conveying the principles as well as the practical aspects of the concepts" - Anacleto Correia"The course is amazing and the level of the questions is very high. Plus the instructor is also a supporting one. She answer each and every question. I am having a great learning till now" - Mayank Ahuja"Great Course. Very Useful Tricks provided to solve problems quickly" - Kamlesh JaiswalWith this course you'll also get:Full lifetime access to the courseComplete support for any question, clarification or difficulty you might face on the topicUdemy Certificate of Completion available for download30-day money back guaranteeFeel free to contact me for any questions or clarifications you might have.I look forward to seeing you in the course! :)

Overview

Section 1: Introduction

Lecture 1 About Course

Lecture 2 Introduction - Important Instructions

Section 2: Permutations

Lecture 3 Permutations

Lecture 4 The Factorial

Lecture 5 n P r or P(n, r)

Lecture 6 Fundamental Principles of counting

Lecture 7 Arrangement in a row

Lecture 8 Permutations of objects not all Distinct

Lecture 9 Conditional Permutations ( when certain things have to be together)

Lecture 10 Conditional Permutations with Restrictions

Lecture 11 Conditional Permutations (arrangement at even or odd places)

Lecture 12 Formation of numbers with different restrictions Part 1

Lecture 13 Formation of numbers with different restrictions Part 2

Lecture 14 Circular Permutations

Lecture 15 Challenging Questions on Permutation 1

Lecture 16 Challenging Questions on Permutation 2

Lecture 17 Challenging Questions on Permutations 3

Lecture 18 Resources on Permutations

Section 3: Combinations

Lecture 19 What is Combinations?

Lecture 20 Properties of C ( n, r )

Lecture 21 Practice Problems on Combinations

Lecture 22 Combinations -Selected problems

Lecture 23 Combinations-Problems with restrictions

Lecture 24 Resources on combinations

Section 4: Problems involving both Permutations and Combinations

Lecture 25 Simple problems

Lecture 26 Skilled Problems-1

Lecture 27 Skilled Problems-2

Lecture 28 Skilled Problems – 3

Lecture 29 Resources help

Section 5: Probability

Lecture 30 Probability

Lecture 31 Empirical Probability

Lecture 32 Theoretical Probability

Lecture 33 Some Important terms of Probability

Lecture 34 Coins and Simple Problems on Coins

Lecture 35 Dice short Tricks–1

Lecture 36 Dice short Tricks 2

Lecture 37 Dice short Tricks 3

Lecture 38 Algebra of Events based on Set Theory

Lecture 39 Sample Space

Lecture 40 Mutually Exclusive Events

Lecture 41 Probability based on numbers

Lecture 42 Odds in favor and Odds against

Lecture 43 Probability Based upon Permutation or arrangements

Lecture 44 Probability based on combinations or selection

Lecture 45 Problems on Balls using combinations - 1

Lecture 46 Problems on Balls using combinations - 2

Lecture 47 P(A U B) or P(A U BU C)

Lecture 48 Practice Problems on P(A U B) Part 1

Lecture 49 Practice Problems on P(A U B) - Part 2

Lecture 50 Practice Problems on P(A U B) - Part 3

Lecture 51 Downloadable Resources

Section 6: Conditional Probability

Lecture 52 Conditional Probability 1

Lecture 53 Conditional Probability 2

Lecture 54 Practice Problems on Conditional Probability – 1

Lecture 55 Practice Problems on Conditional Probability – 2

Lecture 56 Multiplication Theorem on Probability

Lecture 57 Practice Problems on Multiplication Theorem

Lecture 58 Independent Events

Lecture 59 How to prove events are independent?

Lecture 60 Practice Questions on Independent Events

Lecture 61 Practice Questions on multiplication Theorem - 1

Lecture 62 Practice Questions on Addition & multiplication Theorem – 2

Lecture 63 Practice Questions on Addition & multiplication Theorem –3

Lecture 64 Practice Questions on Addition & multiplication Theorem – 4

Lecture 65 Practice Questions on Addition & multiplication Theorem – 5

Lecture 66 Resources in this section

Section 7: The Law of Total Probability and Baye’s Theorem

Lecture 67 The Law of Total Probability

Lecture 68 Practice Problems on the Law of Total Probability - 1

Lecture 69 Practice Problems on the Law of Total Probability - 2

Lecture 70 Practice Problems on the Law of Total Probability - 3

Lecture 71 Baye’s Theorem -Basics

Lecture 72 Practice Problems on Baye’s Theorem -1

Lecture 73 Practice Problems on Baye’s Theorem -2

Lecture 74 Practice Problems on Baye’s Theorem -3

Lecture 75 Resources in this section

Section 8: GMAT – Past Paper Problems

Lecture 76 GMAT Problems

Lecture 77 Solutions of Q 1, Q 2, Q 3, Q 4

Lecture 78 Solutions of Q 5, Q 6, Q 7, Q 8, Q 9

Lecture 79 Solutions of Q 10, Q 11, Q 12, Q 13

Lecture 80 Solutions of Q 14, Q 15

Lecture 81 Solutions of Q 16, Q 17, Q 18

Lecture 82 Solutions of Q 19, Q 20

Students preparing GMAT, SAT, GRE, ACT, CAT, Bank PO and SSC CGL and different competitive exams,High school students (covers the syllabus of almost all the boards like CBSE, ICSE, IB and different state boards),Anyone who wants to brush up Permutations, Combinations & Probability