 Master Permutations, Combinations & Probability Basics

### Master Permutations, Combinations & Probability Basics

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

Instructor: Ruchi ChhabraLanguage: English

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 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! :)

# Syllabus

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

### Assignments

Multiple assignments, practice questions & quizzes

### Support

Complete support for any questions or clarifications

### Certificate

Certificate of completion at the end of the course

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