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

Recent Examples on the Web
Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
The classical approach to autonomous systems relies on building and training massive models in the data center that catalog every situation in every permutation that a vehicle might encounter, through a combination of real-world data collection and synthetic dataset generation. Edwin Olson, Fortune, 4 Feb. 2025 The experience of Will Sheff from Okkervil River, for instance, rings true to those of us who experienced the festival from its earliest years through its later permutations. Michael Barnes, Austin American-Statesman, 14 Oct. 2024 Negotiations are ongoing, with the permutations involving three or more teams. Barry Jackson, Miami Herald, 28 Jan. 2025 But, as things stand, the permutations for every other team are more complicated. Eduardo Tansley, The Athletic, 21 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

Browse Nearby Words

Podcast

Cite this Entry

“Permutation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/permutation. Accessed 12 Mar. 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

More from Merriam-Webster on permutation

Last Updated: - Updated example sentences
Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!