Master Permutations, Combinations & Probability Basics

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

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Instructor: Ruchi ChhabraLanguage: English

About The Course

Course 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


  • Fundamental principles of counting
  • Arrangement in a row
  • Permutations of objects not all Distinct
  • Conditional Permutations
  • Formation of numbers with different restrictions
  • Circular Permutations
  • Challenging Problems on Permutation


  • Properties of C (n, r)
  • Basic Problems on Combinations
  • Combination Problems with restrictions
  • Challenging questions on Combination

Problems involving both Permutations and Combinations

  • Simple problems
  • Highly Skilled Problems


  • Empirical Probability
  • Theoretical Probability
  • Some Important terms of Probability
  • Coins and Simple Problems on Coins
  • Dice short Tricks
  • Algebra of Events based on Set Theory
  • Sample Space
  • Mutually Exclusive Events
  • Probability-based on numbers
  • Odds in favor and Odds against
  • Probability-Based upon Permutation or arrangements
  • Probability based on combinations or selection
  • Problems with Balls using combinations
  • Problems involving P(AUB) or P(AUBUB)

Conditional Probability and Baye’s Theorem

  • Conditional Probability
  • Practice Problems on Conditional Probability
  • Multiplication Theorem on Probability
  • Practice Problems on Multiplication Theorem
  • Independent Events
  • Practice Questions on Addition & multiplication Theorem

The Law of Total Probability and Bayes’ Theorem

  • The law of total Probability
  • Practice Problems on the Law of Total Probability
  • Bayes’ Theorem
  • Practice Problems on Bayes’ Theorem

GMAT – Past Paper Problems

  • GMAT Problems (step-by-step solutions to 20 problems)


What Are The Requirements or Prerequisites?

Basic knowledge of Mathematics (up to middle school)


Who is this course for?

  • Students preparing for 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 on Permutations, Combinations & Probability


What will students learn in this course?

  • 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)
  • Empirical Probability, 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 Bayes’ Theorem (Multiplication Theorem on Probability, Independent Events, etc.)
  • The Law of Total Probability and Bayes’ Theorem
  • GMAT – Past Paper 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 answers each and every question. I am having great learning till now" - Mayank Ahuja
  • "Great Course. Very Useful Tricks provided to solve problems quickly" - Kamlesh Jaiswal


Feel free to contact me with any questions or clarifications you might have.

I look forward to seeing you in the course! :)


This Math Course Is Taught By:

Ruchi Chhabra

20+ years of experience in teaching Mathematics & a strong record of countless students who have scored 90% and above in the subject and many who have scored 100%.

What You’ll Get With The Course

Video Lectures

Carefully designed and in-depth video lectures


Multiple assignments, practice questions & quizzes


Complete support for any questions or clarifications


Certificate of completion at the end of the course

Reviews and Testimonials

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