Introductory Combinatorics

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This, the best selling book in its market, emphasizes combinatorial ideas including the pigeon-hole principle, counting techniques, permutations and combinations, Pólya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs), flows in networks. Features NEW - New problems in each chapter-Many more challenging problem sets have been added. Presents an excellent treatment of Polya's Counting Theoremthat doesn't assume students have seen group theory. Many worked examples. Table Of Contents What Is Combinatorics? The Pigeonhole Principle. Permutations and Combinations. Generating Permutations and Combinations. The Binomial Coefficients. The Inclusion-Exclusion Principle and Applications. Recurrence Relations and Generating Functions. Special Counting Sequences. Matchings in Bipartite Graphs. Combinatorial Designs. Introduction to Graph Theory. Digraphs and Networks. More on Graph Theory. Polya Counting.