# permutation

[ pur-myoo-tey-shuhn ]

/ ˌpɜr myʊˈteɪ ʃən /

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### 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).

## SYNONYMS FOR permutation

## QUIZZES

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Question 1 of 7

Shoelaces, rainbow, toothpaste, and haircuts are all what type of noun?

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Improve Your Writing## Origin of permutation

## OTHER WORDS FROM permutation

per·mu·ta·tion·al, adjectiveper·mu·ta·tion·ist, noun## Words nearby permutation

permissivism, permit, permittivity, permonosulfuric acid, permutate, permutation, permutation group, permute, Pernambuco, pernancy, pernicious

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

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## British Dictionary definitions 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

## Derived forms of permutation

permutational, adjective## 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
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