Dictionary

permutation en · NOUN

Pronunciation

• audio Brisbane
• [ˌpɜː.mjʉˈtæɪ.ʃn̩] (Australia)
• [ˌpɜː.mjʊˈteɪ.ʃn̩] (UK)
• /ˌpɜː.mjʊˈteɪ.ʃən/ (UK)
• /ˌpɝ.mjʊˈteɪ.ʃ(ə)n/ (US)
• /ˌpɜː.mjʉˈtæɪ.ʃən/ (Australia)
• (Southern-England) audio

Etymology

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

Meanings

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.

Forms

Deriveds

permutation lock · subpermutation · permutation box · permutation group · multipermutation · superpermutation · simsun permutation · permutational · vexillary permutation

Relateds

combination

Translations (40)

es permutación (one-to-one mapping) · it permutazione (one-to-one mapping) · ru пермута́ция (ordering of a set of distinct elements) · eo permutaĵo (ordering of a set of distinct elements) · ro permutare (one-to-one mapping) · de Permutation (ordering of a set of distinct elements) · ro permutație (one-to-one mapping) · vi hoán vị (ordering of a set of distinct elements) · es permutación (ordering of a set of distinct elements) · ar تَبْدِيل (ordering of a set of distinct elements) · ru перестано́вка (ordering of a set of distinct elements) · ru пермута́ция (one-to-one mapping) · pl permutacja (one-to-one mapping) · sv permutation (one-to-one mapping) · bg пермутация (one-to-one mapping) · mi whiriwhiringa raupapa (ordering of a set of distinct elements) · pl permutacja (ordering of a set of distinct elements) · cs permutace (ordering of a set of distinct elements) · fi permutaatio (music: transformation of a set's prime form) · fr permutation (ordering of a set of distinct elements) · nb permutasjon (ordering of a set of distinct elements) · id permutasi (ordering of a set of distinct elements) · tr permütasyon (ordering of a set of distinct elements) · fi permutaatio (ordering of a set of distinct elements) · ru пермута́ция (music: transformation of a set's prime form) · sv permutation (ordering of a set of distinct elements) · cs permutace (one-to-one mapping) · pt permutação (one-to-one mapping) · bg разместване (one-to-one mapping) · ka გადანაცვლება (ordering of a set of distinct elements) · cmn 排列 (ordering of a set of distinct elements) · pt permutação (ordering of a set of distinct elements) · fr permutation (one-to-one mapping) · pt permutação (music: transformation of a set's prime form) · ko 치환 (one-to-one mapping) · eo permuto (one-to-one mapping) · ms pilih atur (ordering of a set of distinct elements) · fi permutaatio (one-to-one mapping) · it permutazione (ordering of a set of distinct elements) · tl pamalitan (ordering of a set of distinct elements)