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Derangements

Derangements

Imagine you distribute 10 Books numbered from 1 to 10 to Students 1,2,…,10. How many ways are there to redistribute the books in such a way that nobody receives the book he had before? Translated into mathematical terms, how many are the derangements of the sequence ((1,2,…,10))?

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Combinatorics: Strategies and Methods for Counting

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