## permutation

per·mu·ta·tion- any radical alteration; total transformation
- a complete rearrangement, esp. by interchanging
- 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

Origin of permutation

Middle English*permutacion*; from Middle French ; from Classical Latin

*permutatio*; from

*permutare:*see permute

## permutation

noun

**a.**The process of altering the order of a given set of objects in a group.**b.**The result of such a process; a rearrangement or recombination of elements:*permutations of gene order.***c.***Mathematics*A rearrangement of the elements of a set.- A complete change; a transformation:
*the country's permutation into a modern democracy.*

*Related Forms:*

**per′mu·ta′tion·al**adjective

## permutation

Noun

(*plural* permutations)

- (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.*

- (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}.*

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

Origin

From Old French *permutacion* (French: *permutation*).

## permutation - Computer Definition

One possible combination of items out of a larger set of items. For example, with the set of numbers **1**, **2** and **3**, there are six possible permutations: **12, 21, 13, 31, 23** and **32**.