Permutation
WordNet

### noun

(1)   Act of changing the lineal order of objects in a group
(2)   Complete change in character or condition
"The permutations...taking place in the physical world"- Henry Miller
(3)   The act of changing the arrangement of a given number of elements
(4)   An event in which one thing is substituted for another
"The replacement of lost blood by a transfusion of donor blood"
WiktionaryText

### Noun

1. A one-to-one mapping from a finite set to itself.
This permutation takes each element to the one following it, with the last mapped back to the first.
2. An ordering of a finite set of distinct elements.
There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
3. A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

### Etymology

From permutationem (nominative: permutatio), from permutatus (past participle of permutare).

### Noun

permutation

1. permutation; one-to-one mapping of a finite set to itself
2. permutation; an ordering of a finite set of distinct elements