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permutation.

One of the ways something exists, or the ways a set of objects can be ordered.

11 characters4 syllables approx.English language

Meaning & usage

noun/ˌpɜː.mjʊˈteɪ.ʃən/UK[ˌpɜː.mjʊˈteɪ.ʃn̩]UK/ˌpɝ.mjʊˈteɪ.ʃ(ə)n/US/ˌpɜː.mjʉˈtæɪ.ʃən/Australia
  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. 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.
  3. 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}.
  4. A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

    countable · uncountable
Where this word comes from

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

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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.

Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.