# Permutation definition

pûrmyo͝o-tāshən
Frequency:
noun
A complete change; a transformation.

The country's permutation into a modern democracy.

noun
The process of altering the order of a given set of objects in a group.
noun
The result of such a process; a rearrangement or recombination of elements.

Permutations of gene order.

noun
(mathematics) A rearrangement of the elements of a set.
noun
A complete rearrangement, esp. by interchanging.
noun
(math.) Any of the total number of groupings, or subsets, into which a group, or set, of elements can be arranged in a particular order: the permutations of A, B, and C taken two at a time are AB, BA, AC, CA, BC, CB.
noun
(mathematics) 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.

noun
(mathematics, combinatorics) An ordering of a finite set of distinct elements.

There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.

noun
(music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
noun

Singular:
permutation
Plural:
permutations

## Origin of permutation

• From Old French permutacion (French: permutation).