# permutation

[pur-myoo-tey-shuh n]

- the act of permuting or permutating; alteration; transformation.
- Mathematics.
- the act of changing the order of elements arranged in a particular order, as abc into acb, bac, etc., or of arranging a number of elements in groups made up of equal numbers of the elements in different orders, as a and b in ab and ba; a one-to-one transformation of a set with a finite number of elements.
- any of the resulting arrangements or groups.Compare combination(def 8b).

## Origin of permutation^{}

## Synonyms

See more synonyms on Thesaurus.com1. modification, transmutation, change.

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for permutation

### Historical Examples

#### What artifice can we then employ to provoke this second permutation?

Bramble-bees and OthersJ. Henri Fabre

#### The first permutation makes the second seem very probable, although I cannot as yet conceive a means of realizing it.

Bramble-bees and OthersJ. Henri Fabre

#### This indicates the distinction between the permutation of letters and the transition of letters.

The English LanguageRobert Gordon Latham

#### It is clear how very different the results would become by the permutation and combination of these diverse factors.

Life Movements in PlantsSir Jagadis Chunder Bose

#### He is not a permutation and combination of old elements, transferred through the parents.

Fantasia of the UnconsciousD. H. Lawrence

# permutation

- maths
- an ordered arrangement of the numbers, terms, etc, of a set into specified groupsthe permutations of a, b, and c, taken two at a time, are ab, ba, ac, ca, bc, cb
- a group formed in this way. The number of permutations of n objects taken r at a time is n !/(n – r)!Symbol: n P r Compare combination (def. 6)

- a combination of items made by reordering
- an alteration; transformation
- a fixed combination for selections of results on football poolsUsually shortened to: perm

## Word Origin

C14: from Latin permūtātiō, from permūtāre to change thoroughly; see mutation

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Word Origin and History for permutation

### n.

mid-14c., from Old French permutacion "change, shift" (14c.), from Latin permutationem (nominative permutatio) "a change, alteration, revolution," noun of action from past participle stem of permutare "change thoroughly, exchange," from per- "thoroughly" (see per) + mutare "to change" (see mutable).

Online Etymology Dictionary, © 2010 Douglas Harper