This uinque approach to combinatorics is centered around challenging examples, fully worked solutions, and hundreds of problems- many from olympiads and other competitions, and many original to the authors. Each chapter highlights a particular aspect of thye subject and casts combinational concepts in the guise of questions, illustrations, and exercises that are designed to encourage creativity, improve problem-solving techniques, and widen the reader`s mathematical horizons. Contents : Preface Introduction Acknowledgements Abbreviations And Notations Addition Or Multiplication Combinations Properties Of Binomial Coefficients Bijections Recursions Inclusion and Exclusion Calculatiing In Two Ways: Fubini`s Principle ---- Glossary Index Furthur Reading Afterword
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