permutation

== English == === Etymology === From Middle English permutacioun, permutacyoun, from Old French permutacïon, promutatïon and Medieval Latin permūtātiōnem, accusative of permūtātiō. Morphologically permute +‎ -ation. === Pronunciation === (UK) IPA(key): /ˌpɜː.mjʊˈteɪ.ʃən/, [ˌpɜː.mjʊˈteɪ.ʃn̩] (US) IPA(key): /ˌpɝ.mjʊˈteɪ.ʃ(ə)n/ (General Australian) IPA(key): /ˌpɜː.mjʉˈtæɪ.ʃən/, [ˌpɜː.mjʉˈtæɪ.ʃn̩] Hyphenation: per‧mu‧ta‧tion Rhymes: -eɪʃən === Noun === permutation (countable and uncountable, plural permutations) One of the ways something exists, or the ways a set of objects can be ordered. (mathematics) A one-to-one mapping from a finite set to itself. (mathematics, combinatorics) An ordering of a finite set of distinct elements. (music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde. ==== Derived terms ==== ==== Translations ==== === See also === (combinatorics): combination === Anagrams === importunate, premutation == French == === Etymology === Learned borrowing from Latin permūtātiō, from permūtāre. === Pronunciation === IPA(key): /pɛʁ.my.ta.sjɔ̃/ === Noun === permutation f (plural permutations) permutation Synonym: interversion === Further reading === “permutation”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012 == Swedish == === Noun === permutation c (mathematics) permutation; one-to-one mapping of a finite set to itself (mathematics) permutation; an ordering of a finite set of distinct elements (law) a change of the bylaws or instructions of a foundation from those set out in a testament ==== Declension ==== ==== Related terms ==== permutera permutering === References === “permutation”, in Svensk ordbok [Dictionary of Swedish] (in Swedish) “permutation”, in Svenska Akademiens ordlista [Wordlist of the Swedish Academy] (in Swedish) “permutation”, in Svenska Akademiens ordbok [Dictionary of the Swedish Academy] (in Swedish)