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Permutations refer to the different ways of arranging a set of objects in a specific order. The number of permutations of a set is determined by the factorial of the number of objects, denoted as ( n! ), where ( n ) is the number of objects. For example, the permutations of three objects (A, B, C) are ABC, ACB, BAC, BCA, CAB, and CBA. When dealing with subsets or repeated elements, permutations are calculated using variations or combinations with additional constraints. Permutations are crucial in probability, statistics, and various fields requiring ordered arrangements.
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