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

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