January 2014
Intermediate to advanced
576 pages
12h 56m
English
Content preview from Discrete Mathematical StructuresBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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5
Combinatorics
LEARNING OBJECTIVES
After reading this chapter, you will be conversant with:
- Introduction
- Basic Principle of Counting
- Permutations
- Ordered and Unordered Partitions
- Circular Permutations
- Combinations
- Derangements
- The Pigeonhole Principle
- Elements of Probability
- Multiplication Theorem (Independent Events)
- Baye’s Theorem
- Concept of a Random Variable
- Binomial Distribution
- Poisson Distribution
5.1 INTRODUCTION
Combinatorics is the branch of mathematics, which is concerned with the study of techniques of counting. Combinatorial problems arise in many areas of pure mathematics and geometry. It has acquired great importance due to its applications in the analysis of algorithms, computer science, optimization, probability theory, and ...
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