n several fields of mathematics the term permutation is used with different but closely related meanings. They all relate to the notion of mapping the elements of a set to other elements of the same set, i.e., exchanging elements of a set. For example, a permutation of may be, or purely. A permutation is simply an ordered arrangement of the elements of a set. In combinatorics, a permutation is usually understood to be a sequence containing each element from a finite set once, and only once.

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