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).

Origin of permutation

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, adjectiveper·mu·ta·tion·ist, noun
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

Examples from the Web for permutation

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

Derived Forms

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 Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012