Definitions for permutation
ˌpɜr myʊˈteɪ ʃənper·mu·ta·tion

Princeton's WordNetRate this definition:5.0 / 1 vote

1. substitution, permutation, transposition, replacement, switchnoun

   an event in which one thing is substituted for another

   "the replacement of lost blood by a transfusion of donor blood"

2. permutationnoun

   the act of changing the arrangement of a given number of elements

3. permutationnoun

   complete change in character or condition

   "the permutations...taking place in the physical world"- Henry Miller

4. permutationnoun

   act of changing the lineal order of objects in a group

WiktionaryRate this definition:0.0 / 0 votes

1. permutationnoun

   A one-to-one mapping from a finite set to itself.

   This permutation takes each element to the one following it, with the last mapped back to the first.

2. permutationnoun

   An ordering of a finite set of distinct elements.

   There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.

3. permutationnoun

   A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

4. Etymology: From permutacion (French: permutation).

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Permutationnoun

   Exchange of one for another.

   Etymology: permutation, Fr. permutatio, Lat.

   A permutation of number is frequent in languages. Richard Bentley.

   Gold and silver, by their rarity, are wonderfully fitted for this use of permutation for all sorts of commodities. John Ray.

ChatGPTRate this definition:0.0 / 0 votes

1. permutation

   A permutation is a specific arrangement or order of a set of objects or elements, where the order of arrangement is important. It refers to the act of rearranging, or permuting, all the members of a set into some sequence or order. It is commonly used in combinatorics, statistics, and mathematics to count and describe possible arrangements.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Permutationnoun

   the act of permuting; exchange of the thing for another; mutual transference; interchange

2. Permutationnoun

   the arrangement of any determinate number of things, as units, objects, letters, etc., in all possible orders, one after the other; -- called also alternation. Cf. Combination, n., 4

3. Permutationnoun

   any one of such possible arrangements

4. Permutationnoun

   barter; exchange

5. Etymology: [L. permutatio: cf. F. permutation. See Permute.]

WikidataRate this definition:0.0 / 0 votes

1. Permutation

   In mathematics, the notion of permutation is used with several slightly different meanings, all related to the act of permuting objects or values. Informally, a permutation of a set of objects is an arrangement of those objects into a particular order. For example, there are six permutations of the set {1,2,3}, namely, and. For example, an anagram of a word is a permutation of its letters. The study of permutations in this sense generally belongs to the field of combinatorics. The number of permutations of n distinct objects is n×××⋯×2×1, which is commonly denoted as "n factorial" and written "n!". Permutations occur, in more or less prominent ways, in almost every domain of mathematics. They often arise when different orderings on certain finite sets are considered, possibly only because one wants to ignore such orderings and needs to know how many configurations are thus identified. For similar reasons permutations arise in the study of sorting algorithms in computer science. In algebra and particularly in group theory, a permutation of a set S is defined as a bijection from S to itself. This is related to the rearrangement of S in which each element s takes the place of the corresponding f. The collection of such permutations form a symmetric group. The key to its structure is the possibility to compose permutations: performing two given rearrangements in succession defines a third rearrangement, the composition. Permutations may act on composite objects by rearranging their components, or by certain replacements of symbols.

Matched Categories

1. • Mathematical Process
   • Reordering
   • Transformation
   • Variation

Anagrams for permutation »

1. importunate

How to pronounce permutation?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say permutation in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of permutation in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of permutation in Pythagorean Numerology is: 8

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=permutation
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Permutation
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=permutation
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/permutation
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=permutation