Abstract
Counting: Basic Subsets of a Set Pascal's Triangle Binomial Coefficient Identities Counting: Intermediate Finding a Polynomial The Upward-Extended Pascal's Triangle Recurrence Relations and Fibonacci Numbers Counting: Advanced Generating Functions and Making Change Integer Triangles Rook Paths and Queen Paths Discrete Probability Probability Spaces and Distributions Markov Chains Random Tournaments Number Theory Divisibility of Factorials and Binomial Coefficients Covering Systems Partitions of an Integer Information Theory What Is Surprise? A Coin-Tossing Game Shannon's Theorems Games A Little Graph Theory Background The Ramsey Game Tic-Tac-Toe and Animal Games Algorithms Counters Listing Permutations and Combinations Sudoku Solving and Polycube Packing Appendix A: Hints and Solutions to Exercises Appendix B: Notation Bibliography Index
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