A Permutation

Etymology

From Latin permūtātiō ("a complete change, interchange"), from permūtāre ("to change completely, interchange"), from per- ("thoroughly") + mūtāre ("to change"), from Proto-Indo-European mey-* ("to change, exchange").

Meanings

1. (mathematics, combinatorics) An ordered arrangement of all or part of a set of items, where the sequence or order of selection matters.
2. (algebra) A bijective function from a set onto itself.
3. A complete change, alteration, or rearrangement of elements, parts, or forms.
4. Any of the different ways or forms in which something can exist, occur, or be arranged.

Synonyms

rearrangement, ordering, transposition, variation, alternation, mutation

Related terms

combination, permute, cyclic permutation, permutation matrix

Translations

Arabic: (تَبْدِيلَة), (تَبَادِيل), (تَبْدِيل)

German: (die Permutation), (die Umordnung), (die Vertauschung)

Norwegian Bokmål: (en permutasjon)