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# Learn COMBINATORICS the Arts and Crafts of counting

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## Topics

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## What you will learn

After completing this course you will be able to handle all counting problems that appears in tests like GRE, GMAT, DAT, ACT, IITJEE, JEE MAINS, MATHEMATICS OLYMPIADS, CAT etc.

Science of Counting uncountable

You will have a firm foundation of permutation, combinatorics, division into groups and derangement theory etc.

You will become more comfortable with permutations and combinations !

Solve Real World Problems Using Combinations and Permutations.

Know When to Use Combinations or Permutations.

You will have a firm foundation for pursuing more combinatorics.

This course will help you improve your grade by at least 10%.

Different cases of Permutations such as word formation, Circular Permutations, etc.

Application of Multinomial Theorem to solve problem of Permutations and Combinations

In this course you will learn Meaning of Factorial notation.

In this course you will learn Division into Groups.

In this course you will learn prime factorization and Exponent of Prime p in n!

In this course you will learn Derangement.

## Description

About this Course

If you want to learn code and science behind counting, this course is for you. In  this course we will learn systematic and a logical way of counting to solve problems that require a huge counting. After this course you will be able to solve problems of type ' in how many ways this can be done " or "find the total number of ways of..."  .

We’ll begin and build with the basic principles of counting, and as we proceed, we’ll develop some advanced techniques which can help us answer a lot of complex counting related problems and ultimately  count the uncountable!

We will also establish the fundamentals behind counting and develop smarter way of counting.

This course will cover

• Fundamental Principle of Counting

• Basic Counting Techniques.

• Factorial

• Arrangement of Objects.

• Selection of Objects.

• Permutations including Circular Permutations

• Combinations

• Application to Number Theory

• Division into Groups

• Arrangements in Groups

• Arrangement of identical Objects.

• Derangement

• Multinational Theorem

• Number of Rectangles and Squares

• Exponent of Prime p in n!

• And many many many problems.

Who this course is for:

• Anyone with an interest in learning permutation and combinations

• Anyone with preparing to take a standardized test like GRE, SAT, ACT

• Anyone taking a college or high school course in combinatorics

Let us begin!

Happy intuitive learning !

## Content

Introduction

Introducing Fundamental Theory of Counting

Fundamental theory of counting- Multiplication Principle

Problems on Fundamental Theory of Counting

Quiz on Fundamental theory of counting

Permutation and combination

Arrangement of objects: Permutation formula

Selection of Objects: Combination

Problems on Selection and arrangements

Selection and arrangements of objects

Arrangements of objects in a circular Table: Circular Permutation

Problems on Circular arrangements

Arrangement of objects in circular table

Division into groups

Problems on Division into groups

Miscellaneous Problems on Combinatorics

Prime Factorization Theorem

Problems of Prime Factorization

Prime Factorization of Factorials

Prime Factorization of Factorials

Udemy ID

## 11/10/2018

Course created date

## 11/22/2019

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