permutation

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permutation

  • /ˌpɜː.mjʊˈteɪ.ʃən/ UK
  • [ˌpɜː.mjʊˈteɪ.ʃn̩] UK
  • /ˌpɝ.mjʊˈteɪ.ʃ(ə)n/ US
  • /ˌpɜː.mjʉˈtæɪ.ʃən/ Australia
  • [ˌpɜː.mjʉˈtæɪ.ʃn̩] Australia

Rhymes with -eɪʃən

Where it comes from

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

Morphologically permute + -ation.

noun permutations

  1. countable, uncountable 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. countable, uncountable 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. countable, uncountable 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. countable, uncountable 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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