permutation

per·mu·ta·tion
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UK/ˌpɜː.mjʊˈteɪ.ʃən/UK[ˌpɜː.mjʊˈteɪ.ʃn̩]US/ˌpɝ.mjʊˈteɪ.ʃ(ə)n/Australia/ˌpɜː.mjʉˈtæɪ.ʃən/

noun

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?”

Less commonScrabble 15

Meanings

nounpermutation (countable and uncountable, plural permutations)

plural permutations

  1. countableuncountableOne 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. countableuncountablemathematicsA 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. countableuncountablecombinatoricsAn ordering of a finite set of distinct elements.

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

  4. countableuncountableentertainmentA transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

Synonyms & antonyms

nounan event in which one thing is substituted for another

Synonym sets from Open English WordNet, CC BY 4.0.

Origin

  1. Medieval Latinpermūtātiōnem
  2. Old Frenchpermutacïon
  3. Middle Englishpermutacioun
  4. Englishpermutation

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

Full word history & related roots →

Translations

Arabic تَبْدِيل
  • تَبْدِيل (tabdīl)ordering of a set of distinct elements
Bulgarian пермутация, разместване
  • пермутация (permutacija)one-to-one mapping
  • разместване (razmestvane)one-to-one mapping
Chinese Mandarin 排列
  • 排列 (pàiliè)ordering of a set of distinct elements
Czech permutace, permutace
  • permutaceone-to-one mapping
  • permutaceordering of a set of distinct elements
Esperanto permuto, permutaĵo
  • permutoone-to-one mapping
  • permutaĵoordering of a set of distinct elements
Finnish permutaatio, permutaatio
  • permutaatioone-to-one mapping
  • permutaatioordering of a set of distinct elements
  • permutaatiomusic: transformation of a set's prime form
French permutation, permutation
  • permutationone-to-one mapping
  • permutationordering of a set of distinct elements
German Permutation
  • Permutationordering of a set of distinct elements
Indonesian permutasi
  • permutasiordering of a set of distinct elements
Italian permutazione, permutazione
  • permutazioneone-to-one mapping
  • permutazioneordering of a set of distinct elements
Korean 치환
  • 치환 (chihwan)one-to-one mapping
Malay pilih atur
  • pilih aturordering of a set of distinct elements
Māori whiriwhiringa raupapa
  • whiriwhiringa raupapaordering of a set of distinct elements
Norwegian Bokmål permutasjon
  • permutasjonordering of a set of distinct elements
Polish permutacja, permutacja
  • permutacjaone-to-one mapping
  • permutacjaordering of a set of distinct elements
Portuguese permutação, permutação
  • permutaçãoone-to-one mapping
  • permutaçãoordering of a set of distinct elements
  • permutaçãomusic: transformation of a set's prime form
Romanian permutare, permutație
  • permutareone-to-one mapping
  • permutațieone-to-one mapping
Russian пермута́ция, перестано́вка
  • пермута́ция (permutácija)one-to-one mapping
  • перестано́вка (perestanóvka)ordering of a set of distinct elements
  • пермута́ция (permutácija)ordering of a set of distinct elements
  • пермута́ция (permutácija)music: transformation of a set's prime form
Spanish permutación, permutación
  • permutaciónone-to-one mapping
  • permutaciónordering of a set of distinct elements
Swedish permutation, permutation
  • permutationone-to-one mapping
  • permutationordering of a set of distinct elements
Tagalog pamalitan
  • pamalitanordering of a set of distinct elements
Turkish permütasyon
  • permütasyonordering of a set of distinct elements
Vietnamese hoán vị
  • hoán vịordering of a set of distinct elements

Rhymes & wordplay

Rhymes with permutation

All rhymes →

Anagrams

Cite this entry
APA

permutation. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/permutation

MLA

“permutation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/permutation. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “permutation,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/permutation.

Source: permutation on Wiktionary, CC BY-SA 4.0.