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permutation

per·mu·ta·tion
P p

Transcription

    • US Pronunciation
    • US IPA
    • UK Pronunciation
    • UK IPA
    • [pur-myoo-tey-shuh n]
    • /ˌpɜr myʊˈteɪ ʃən/
    • /ˌpɜː.mjʊˈteɪ.ʃən/
    • US Pronunciation
    • US IPA
    • [pur-myoo-tey-shuh n]
    • /ˌpɜr myʊˈteɪ ʃən/

Definitions of permutation word

  • noun permutation the act of permuting or permutating; alteration; transformation. 1
  • noun permutation 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). 1
  • noun Technical meaning of permutation (mathematics)   1. An ordering of a certain number of elements of a given set. For instance, the permutations of (1,2,3) are (1,2,3) (2,3,1) (3,1,2) (3,2,1) (1,3,2) (2,1,3). Permutations form one of the canonical examples of a "group" - they can be composed and you can find an inverse permutation that reverses the action of any given permutation. The number of permutations of r things taken from a set of n is n P r = n! / (n-r)! where "n P r" is usually written with n and r as subscripts and n! is the factorial of n. What the football pools call a "permutation" is not a permutation but a combination - the order does not matter. 2. A bijection for which the domain and range are the same set and so f(f'(x)) = f'(f(x)) = x. 1
  • noun permutation transformation 1
  • noun permutation version, modified form 1
  • countable noun permutation A permutation is one of the ways in which a number of things can be ordered or arranged. 0

Information block about the term

Origin of permutation

First appearance:

before 1325
One of the 16% oldest English words
1325-75; Middle English permutacioun (< Middle French permutacion) < Latin permūtātiōn- (stem of permūtātiō) thoroughgoing change. See per-, mutation, permute

Historical Comparancy

Parts of speech for Permutation

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation

permutation popularity

A common word. It’s meaning is known to most children of preschool age. About 85% of English native speakers know the meaning and use the word.
Most Europeans know this English word. The frequency of it’s usage is somewhere between "mom" and "screwdriver".

permutation usage trend in Literature

This diagram is provided by Google Ngram Viewer

Synonyms for permutation

noun permutation

  • change — If there is a change in something, it becomes different.
  • conversion — Conversion is the act or process of changing something into a different state or form.
  • crazies — mentally deranged; demented; insane.
  • deflection — The deflection of something means making it change direction.
  • innovation — something new or different introduced: numerous innovations in the high-school curriculum.

Top questions with permutation

  • what is a permutation?
  • what is permutation?
  • what does permutation mean?
  • what is the difference between permutation and combination?
  • what is the difference between a permutation and a combination?
  • how to find the permutation?
  • how to tell the difference between permutation and combination problems?
  • what is permutation and combination in statistics?
  • what is permutation and combination?
  • when to use permutation and combination?
  • how to calculate permutation and combination?
  • how to tell the difference between permutation and combination?
  • when do you use permutation and combination?
  • how to find rank of word in permutation?
  • what is the meaning of permutation?

See also

Matching words

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