# permutation

[ pur-myoo-tey-shuhn ]

/ ˌpɜr myʊˈteɪ ʃən /

### noun

the act of permuting or permutating; alteration; transformation.

Mathematics.

- the act of changing the order of elements arranged in a particular order, as abc into acb, bac, etc., or of arranging a number of elements in groups made up of equal numbers of the elements in different orders, as a and b in ab and ba; a one-to-one transformation of a set with a finite number of elements.
- any of the resulting arrangements or groups.Compare combination(def 8b).

## RELATED WORDS

## Nearby words

- permit,
- permittee,
- permittivity,
- permonosulfuric acid,
- permutate,
- permutation group,
- permute,
- pernambuco,
- pernancy,
- pernicious

## Origin of permutation

SYNONYMS FOR permutation

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Examples from the Web for permutation

## permutation

/ (ˌpɜːmjʊˈteɪʃən) /

### noun

maths

- an ordered arrangement of the numbers, terms, etc, of a set into specified groupsthe permutations of a, b, and c, taken two at a time, are ab, ba, ac, ca, bc, cb
- a group formed in this way. The number of permutations of n objects taken r at a time is n !/(n – r)!Symbol: n P r Compare combination (def. 6)

a combination of items made by reordering

an alteration; transformation

a fixed combination for selections of results on football poolsUsually shortened to: perm

## Word Origin for permutation

C14: from Latin permūtātiō, from permūtāre to change thoroughly; see mutation

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## permutation

mid-14c., from Old French permutacion "change, shift" (14c.), from Latin permutationem (nominative permutatio) "a change, alteration, revolution," noun of action from past participle stem of permutare "change thoroughly, exchange," from per- "thoroughly" (see per) + mutare "to change" (see mutable).

Online Etymology Dictionary, © 2010 Douglas Harper