Permutation

//ˌpɝ.mjʊˈteɪ.ʃən// noun

Definitions

Noun
  1. 1
    One of the ways something exists, or the ways a set of objects can be ordered. countable, uncountable

    "Which permutation for completing our agenda items makes the most sense?"

  2. 2
    act of changing the lineal order of objects in a group wordnet
  3. 3
    A one-to-one mapping from a finite set to itself. countable, uncountable

    "This permutation takes each element to the one following it, with the last mapped back to the first."

  4. 4
    complete change in character or condition wordnet
  5. 5
    An ordering of a finite set of distinct elements. countable, uncountable

    "There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}."

Show 3 more definitions
  1. 6
    the act of changing the arrangement of a given number of elements wordnet
  2. 7
    A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde. countable, uncountable
  3. 8
    an event in which one thing is substituted for another wordnet

Etymology

From Middle English permutacioun, permutacyoun, from Old French permutacïon, promutatïon and Medieval Latin permūtātiōnem, accusative of permūtātiō. Morphologically permute + -ation.

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