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Binomial and multinomial coefficients, identities, and lattice pathsCompositions, multisets, and distributing objects into boxesCounting principles, bijections, and the pigeonhole principleExponential generating functions and labeled structuresInclusion-exclusion, derangements, and surjectionsInteger partitions and Ferrers diagramsOrdinary generating functions, recurrences, and Catalan numbersSet partitions, Stirling numbers, and the cycle structure of permutations

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