# permutation

## English

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English Wikipedia has an article on:
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### Etymology

From Middle English permutacioun, permutacyoun, from Old French permutacïon, promutatïon and Medieval Latin permūtātiōnem, accusative of permūtātiō.

### Noun

permutation (countable and uncountable, plural permutations)

1. One of the ways something exists, or the ways a set of objects can be ordered.
Which permutation for completing our agenda items makes the most sense?
2. (mathematics) 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.
3. () An ordering of a finite set of distinct elements.
There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
4. (music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

#### Translations

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Wiktionary:Entry layout § Translations.

## French

### Etymology

Borrowed from Latin permūtātiō, from permūtāre.

### Pronunciation

•  Audio (file)

### Noun

permutation f (plural permutations)

1. permutation

## Swedish

### Noun

permutation c

1. (mathematics) permutation; one-to-one mapping of a finite set to itself
2. (mathematics) permutation; an ordering of a finite set of distinct elements
3. (law) a change of the bylaws or instructions of a foundation from those set out in a testament

#### Declension

Declension of permutation
Singular Plural
Indefinite Definite Indefinite Definite
Nominative permutation permutationen permutationer permutationerna
Genitive permutations permutationens permutationers permutationernas