# permutation

[ pur-myoo-tey-shuhn ]
/ ˌpɜr myʊˈteɪ ʃən /

### noun

the act of permuting or permutating; alteration; transformation.
Mathematics.
1. 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.
2. any of the resulting arrangements or groups.Compare combination (def. 8b).

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## Origin of permutation

1325–75; Middle English permutacioun (<Middle French permutacion) <Latin permūtātiōn- (stem of permūtātiō) thoroughgoing change. See per-, mutation, permute

## Words nearby permutation

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

## British Dictionary definitions for permutation

permutation
/ (ˌpɜːmjʊˈteɪʃən) /

### noun

maths
1. 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
2. a group formed in this way. The number of permutations of n objects taken r at a time is n !/(nr)!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