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# permutation

## Definitions

### from The American Heritage® Dictionary of the English Language, 4th Edition

• n. A complete change; a transformation.
• n. The act of altering a given set of objects in a group.
• n. Mathematics A rearrangement of the elements of a set.

### from Wiktionary, Creative Commons Attribution/Share-Alike License

• n. A one-to-one mapping from a finite set to itself.
• n. An ordering of a finite set of distinct elements.
• n. A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

### from the GNU version of the Collaborative International Dictionary of English

• n. The act of permuting; exchange of the thing for another; mutual transference; interchange.
• n.
• n. The arrangement of any determinate number of things, as units, objects, letters, etc., in all possible orders, one after the other; -- called also alternation. Cf. Combination, n., 4.
• n. Any one of such possible arrangements.
• n. Barter; exchange.

### from The Century Dictionary and Cyclopedia

• n. Interchange; concurrent changes; mutual change; change in general.
• n. Exchange; barter.
• n. In mathematics, a linear arrangement of objects resulting from a change of their order.
• n. In philology, the mutation or interchange of consonants, especially of allied consonants.

### from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• n. the act of changing the arrangement of a given number of elements
• n. act of changing the lineal order of objects in a group
• n. an event in which one thing is substituted for another
• n. complete change in character or condition

## Etymologies

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

## Comments

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