permutation

noun

per·​mu·​ta·​tion ˌpər-myü-ˈtā-shən How to pronounce permutation (audio)
1
: often major or fundamental change (as in character or condition) based primarily on rearrangement of existent elements
the system has gone through several permutations
also : a form or variety resulting from such change
technology available in various permutations
2
a
: the act or process of changing the lineal order of an ordered set of objects
b
: an ordered arrangement of a set of objects
permutational adjective

Did you know?

Permutation has not changed all that much since it was borrowed into Middle English from Anglo-French as permutacioun, meaning "exchange, transformation." Permutacioun traces back to the Latin verb permutare, meaning "to change thoroughly, exchange," and ultimately derives from the Latin mutare, "to change." Other descendants of mutare in English include commute, mutant, and mutual. Permutation also has a specific application in the field of mathematics relating to the ordering of a given set of objects. For example, permutations of items a, b, and c are abc, acb, bac, etc.

Examples of permutation in a Sentence

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The number of permutations where the digits do not repeat within the code itself is 5040 if Professor Google and a calculator have not let me down. Davey Winder, Forbes.com, 26 May 2025 The rule created a series of permutations on tire strategy, forcing teams to rethink their approaches. Sahil Kapur, NBC news, 25 May 2025 There are multiple permutations, but what is certain is that the next pope will leave his own mark. Jason Horowitz, New York Times, 7 May 2025 My job is to show the players, and the people at home, the possible future permutations of their decisions and then step back and not lead the witness. Dalton Ross, EW.com, 8 Jan. 2025 See All Example Sentences for permutation

Word History

Etymology

Middle English permutacioun exchange, transformation, from Anglo-French, from Latin permutation-, permutatio, from permutare

First Known Use

14th century, in the meaning defined at sense 1

Time Traveler
The first known use of permutation was in the 14th century

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Cite this Entry

“Permutation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/permutation. Accessed 2 Jun. 2025.

Kids Definition

permutation

noun
per·​mu·​ta·​tion ˌpər-myu̇-ˈtā-shən How to pronounce permutation (audio)
: an ordered arrangement of a set of objects

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