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permutations

[pur-myoo-tey-shuhn]

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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).

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

Related forms

per·mu·ta·tion·al, adjective

per·mu·ta·tion·ist, noun

Synonyms
1. modification, transmutation, change.

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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