Combinatorics
1
Introduction
2
What Is Combinatorics?
3
Permutations and Combinations
4
The Pigeonhole Principle
5
Generating Permutations and Combinations
6
The Binomial Coefficients
7
The Inclusion-Exclusion Principle and Applications
8
Recurrence Relations and Generating Functions
9
Special Counting Sequences
10
Systems of Distinct Representatives
11
Combinatorial Designs
12
Introduction to Graph Theory
13
More on Graph Theory
14
Digraphs and Networks
15
Poĺya Counting
Dependency graph
2 What Is Combinatorics?