English
permutation
Etymology

From Middle English permutacioun, permutacyoun, from Old French permutacïon, promutatïon and Medieval Latin permūtātiōnem, accusative of permūtātiō.

Morphologically permute + -ation

Pronunciation
  • (British) IPA: /ˌpɜː.mjʊˈteɪ.ʃən/, [ˌpɜː.mjʊˈteɪ.ʃn̩]
  • (America) IPA: /ˌpɝ.mjʊˈteɪ.ʃən/, [ˌpɝ.mjʊˈteɪ.ʃn̩]
  • (Australia) IPA: /ˌpɜː.mjʉˈtæɪ.ʃən/, [ˌpɜː.mjʉˈtæɪ.ʃn̩]
Noun

permutation

  1. One of the ways something exists, or the ways a set of objects can be ordered.
    Which permutation for completing our agenda items makes the most sense?
  2. (mathematics) 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.
  3. (mathematics, combinatorics) An ordering of a finite set of distinct elements.
    There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
  4. (music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
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