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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! :)*

This Math Course Is Taught By:

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%.

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

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