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derangement is a permutation of the elements such that none appear in its original position. For example, the only derangements of {1,2,3} are {2,3,1} and

derangement is a permutation of the elements such that none appear in its original position. For example, the only derangements of {1,2,3} are {2,3,1} and {3,2,1} . How many derangements does {1,2,3,4} have?

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