Etymology
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permute (v.)

late 14c., permuten, "to change one for another, to interchange," from Old French permuter and directly from Latin permutare "to change thoroughly," from per "thoroughly" (see per) + mutare "to change" (from PIE root *mei- (1) "to change, go, move"). The mathematical sense is from 1878 (see permutation).

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Definitions of permute

permute (v.)
change the order or arrangement of;
Synonyms: commute / transpose
From wordnet.princeton.edu