# permutation

> English word · Noun · IPA /ˌpɜː.mjʊˈteɪ.ʃən/ · frequency rank #44,997

## Definitions
1. One of the ways something exists, or the ways a set of objects can be ordered.
2. A one-to-one mapping from a finite set to itself.
3. An ordering of a finite set of distinct elements.
4. A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

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

## Common misspellings (17)
`eprmutation`, `pemrutation`, `permmutation`, `permtuation`, `permuattion`, `permutaiton`, `permutasion`, `permutatino`, `permutationn`, `permutatoin`, `permutattion`, `permuttaion`, `permuttation`, `perrmutation`, `perumtation`, `ppermutation`, `premutation`

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/permutation