# Master Permutations, Combinations & Probability Basics

## 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:**

*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! :)*

## Who this course is for:

- 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

## Course content

- Preview01:24

## Instructor

Post Graduation 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 (CBSE, IGCSE, ICSE boards), competitive exams like GMAT, CAT, SAT, GRE, CPT, CLAT, NTSE, Maths Olympiad and students preparing for the entrance exams of reputed schools like Mayo, Rishi Valley, Bishop Cotton, DPS, Birla etc.