# permutation

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Related to permutation: Permutation matrix, Permutation and Combination

## per·mu·ta·tion

(pûr′myo͝o-tā′shən)*n.*

**1.**

**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.

**2.**A complete change; a transformation: the country's permutation into a modern democracy.

**per′mu·ta′tion·al**

*adj.*

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## permutation

(ˌpɜːmjʊˈteɪʃən)*n*

**1.**(Mathematics)

*maths*

**a.**an ordered arrangement of the numbers, terms, etc, of a set into specified groups: the permutations of a, b, and c, taken two at a time, are ab, ba, ac, ca, bc, cb.

**b.**a group formed in this way. The number of permutations of

*n*objects taken

*r*at a time is

*n*!/(

*n*–

*r*)!. Symbol:

**Compare combination**

*nPr*^{6}

**2.**a combination of items made by reordering

**3.**an alteration; transformation

**4.**(Gambling, except Cards) a fixed combination for selections of results on football pools. Usually shortened to:

**perm**

[C14: from Latin

*permūtātiō,*from*permūtāre*to change thoroughly; see mutation]**ˌpermuˈtational**

*adj*

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## per•mu•ta•tion

(ˌpɜr myʊˈteɪ ʃən)*n.*

**1.**the act of permuting or permutating; alteration; transformation.

**2.**

*Math.*

**a.**the act of changing the order of set elements arranged in a particular way, as

*abc*into

*acb*or bac.

**b.**any of the resulting arrangements. Compare combination (def. 8).

[1325–75; Middle English

*permutacioun*(< Anglo-French, Middle French) < Latin*permūtātiō*= permūtā*(re)*to permute + -tiō -tion]**per`mu•ta′tion•al,**

*adj.*

**per`mu•ta′tion•ist,**

*n.*

Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | permutation - an event in which one thing is substituted for another; "the replacement of lost blood by a transfusion of donor blood"variation, fluctuation - an instance of change; the rate or magnitude of change |

2. | permutation - the act of changing the arrangement of a given number of elementsmathematical operation, mathematical process, operation - (mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation"; "they were learning the basic operations of arithmetic" | |

3. | permutation - complete change in character or condition; "the permutations...taking place in the physical world"- Henry Millertranslation, transformation - the act of changing in form or shape or appearance; "a photograph is a translation of a scene onto a two-dimensional surface" | |

4. | permutation - act of changing the lineal order of objects in a groupreordering - a rearrangement in a different order |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

## permutation

*noun*transformation, change, shift, variation, modification, alteration, mutation, transmutation, transposition an infinite variety of permutations

Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

## permutation

*noun*

The process or result of making or becoming different:

The American Heritage® Roget's Thesaurus. Copyright © 2013, 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Translations

**إبْدال، تَبْديل**

**obměna**

**kombinationsmulighed**

**permutáció**

**umröîun, umbreyting**

**kombinacija**

**sukeitimas**

**kombinācija**

**permutācija**

**permutácia**

**devşirim**

**permitasyon**

## permutation

[ˌpɜːmjʊˈteɪʃ*ə*n]

*N*

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

Collins English/French Electronic Resource. © HarperCollins Publishers 2005

## permutation

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

## permutation

(pəːmjuˈteiʃən)*noun*

a particular order in which things are arranged. We can write down these numbers in various permutations.

Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.

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