permutation
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permutation
- /ˌpɜː.mjʊˈteɪ.ʃən/ UK
- [ˌpɜː.mjʊˈteɪ.ʃn̩] UK
- /ˌpɝ.mjʊˈteɪ.ʃ(ə)n/ US
- /ˌpɜː.mjʉˈtæɪ.ʃən/ Australia
- [ˌpɜː.mjʉˈtæɪ.ʃn̩] Australia
Rhymes with -eɪʃən
Where it comes from
From Middle English permutacioun, permutacyoun, from Old French permutacïon, promutatïon and Medieval Latin permūtātiōnem, accusative of permūtātiō.
Morphologically permute + -ation.
noun permutations
- 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?
- 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.
- An ordering of a finite set of distinct elements. There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
- A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.