Counting supplementary notes and solutions manual
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Supplementary Chapters: The Principle of Inclusion and Exclusion General Statement of the Principle of Inclusion and Exclusion The Pigeonhole Principle Recurrence Relations -- An Introduction The Stirling Numbers of the First Kind The Stirling Numbers of the Second Kind The Catalan Numbers Solutions to Problems: The Addition Principle The Multiplication Principle Subsets and Arrangements Applications The Bijection Principle Distribution of Balls into Boxes More Applications of (BP) Distribution of Distinct Objects into Distinct Boxes Other Variations of the Distribution Problem The Binomial Expansion Some Useful Identities Pascal's Triangle Solutions to Miscellaneous Problems.
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