PERMUTATION

Permutation

In mathematics, the notion of permutation relates to the act of permuting objects or values. Informally, a permutation of a set of objects is an arrangement of those objects into a particular order. For example, there are six permutations of the set {1,2,3}, namely ,,,,, and . As another example, an anagram of a word is a permutation of its letters. The study of permutations in this sense generally belongs to the field of combinatorics.

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permutation

Noun

  1. A one-to-one mapping from a finite set to itself.
    This permutation takes each element to the one following it, with the last mapped back to the first.
  2. An ordering of a finite set of distinct elements.
    There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
  3. A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.


The above text is a snippet from Wiktionary: permutation
and as such is available under the Creative Commons Attribution/Share-Alike License.

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