Contents

1. Counting Principles

1. Introduction

2. Principles of Counting 

3. Permutations 

4. Combinations

5. Combinatorial Identies

2. Principle of Inclusion and Exclusion

1. Introduction 

2. Principle of Inclusion and Exclusion 

3. Derangements 

4. Generating Functions for Integer Solutions of Linear Equations

5. Multinomial Coefficients

6. Multinomial Theorem and Applications

3. Introduction to Probability

1. Introduction 

2. Deterministic and Non-Deterministic Models 

3. Sample Space 

4. Events 

5. Probability

6. Theorems of Probability

7. Conditional Probability

8. Baye’s Theorem

9. Independence of two Event 

4. Random Variable and Mathematical Expectation

1. Introduction

2. Random Variables

3. Mathematical Expectation of Probability Distribution

4. Variance

5. Concept of Bivariate Probability Distributions 

6. Continuous Random Variables

7. Mathematical Expectation of Continuous random Variable

8.    Bivariate Continuous Probability Distributions

5. Special Discrete Probability Distributions

1. Introduction

2. Bernoulli Distribution

3. Binomial Distribution

4. Poisson Distribution

6. Special Continuous Probability Distributions

1. Introduction

2. Uniform Distribution

3. Exponential Distribution

4. Normal Distribution