# per mutational

## permutation

[pur-myoo-tey-shuhn]
noun
1.
the act of permuting or permutating; alteration; transformation.
2.
Mathematics.
a.
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.
b.
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

permutationist, noun

1. modification, transmutation, change.
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Based on the Random House Dictionary, © Random House, Inc. 2013.
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World English Dictionary
 permutation (ˌpɜːmjʊˈteɪʃən) —n 1. maths a.  an ordered arrangement of the numbers, terms, etc, of a set into specified groups: the permutations of a, b, and c, taken two at a time, are ab, ba, ac, ca, bc, cb b.  Compare combination nPr a group formed in this way. The number of permutations of n objects taken r at a time is n!/(n--r)! 2. a combination of items made by reordering 3. an alteration; transformation 4. Usually shortened to: perm a fixed combination for selections of results on football pools [C14: from Latin permūtātiō, from permūtāre to change thoroughly; see mutation] permu'tational —adj

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Etymonline
Word Origin & History

permutation
mid-14c., from O.Fr. permutacion (14c.), from L. permutationem (nom. permutatio), from permutatus, pp. of permutare "change thoroughly, exchange," from per- "thoroughly" + mutare "to change" (see mutable).
Online Etymology Dictionary, © 2010 Douglas Harper
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