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Master Permutations, Combinations & Probability Basics (Udemy.com)

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

Created by: Ruchi Chhabra

Last updated August 2024

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What you will 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)
  • 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 Baye’s Theorem (Multiplication Theorem on Probability, Independent Events etc.)
  • The Law of Total Probability and Baye’s Theorem
  • GMAT – Past Paper Problems

How it compares

Against the other 127 rated Udemy courses in Math on CourseDuck:

  • Rating4.6 out of 5higher than 37% of them
  • Reviews86#112 of 128 by number of reviews
  • Length10.2 hoursshorter than 55% of them
  • Last updatedAugust 2024earlier than 57% of them

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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:

Permutations

  • 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

Combinations

  • 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

Probability

  • 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 on 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 Baye’s Theorem

  • The law of total Probability

  • Practice Problems on the Law of Total Probability

  • Baye’s Theorem

  • Practice Problems on Baye’s Theorem

GMAT – Past Paper Problems

  • GMAT 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 Jaiswal


With this course you'll also get:

  • Full lifetime access to the course

  • Complete support for any question, clarification or difficulty you might face on the topic

  • Udemy Certificate of Completion available for download

  • 30-day money back guarantee


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

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

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Instructor Details

Ruchi Chhabra

Masters in Applied Mathematics, Delhi University

Graduation in Mathematics Honours, Lady Shri Ram College, Delhi University

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%.

Have taught students from classes 9th to 12th (IB AA HL/SL, IB AI HL/SL, IGCSE, ICSE, CBSE boards), competitive exams like GMAT, CAT, SAT, GRE, CPT, CLAT, NTSE, Math Olympiad and students preparing for the entrance exams of reputed schools like Mayo, Rishi Valley, Bishop Cotton, DPS, Birla etc.





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Reviews

4.6

86 ratings on Udemy

Select a bar to show only those reviews.Select the bar again to show every rating.

By Mohammad Rahman on 10/8/2025

It had some weird explanations

By Vikas Shreekrishna Gupta on 3/8/2025

yes, I think It will prove to be a good match for me for leaerning this combination science.

By Robert Silva on 6/22/2024

What I am enjoying is that it is not rehash of old materials, but the Instructor shows always something interesting. In simple term, it's the difference between a bland dish and one with some spices. I'm really enjoying it.

By Shafquat Rehmani on 8/9/2023

So far this course looks like the kind of course I am looking for.

By Timoleon Tsilikis on 6/6/2023

If there was another part teaching more advanced probabilities (poisson, binomial , density etc.) and have pre written subtitles i would give 5 star but everything in the course is well explained and well put. Exercises are also pretty in depth and methodically placed. Really good job.

By John on 4/3/2023

Very good content-wise. The speed of the videos is too fast. There is a chrome extension that you can create custom speed named "udemy custom speed changer". 0.9 is ideal speed for me! I hope Udemy will implement its own custom speed option

By Dewashish Padhee on 8/26/2022

great great and best lecture on probability permutation and combination.thank you mam

By Mayank Ahuja on 8/9/2020

The course is amazing and the level of the questions is above the Arun Sharma. Plus the instructor is also a supporting one. She answer each and evey question. I am having a great learning till now.

By Kamlesh Jaiswal on 11/20/2018

Great Course. Very Useful Tricks provided to solve problems quickly.

By Anacleto Correia on 11/17/2018

Great! Very good explanations with great care in conveying the principles as well as the practical aspects of the concepts.

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Read all 86 reviews on Udemy

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Quality Score

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Overall Score : 92 / 100