What's the difference between and

# Alteration vs Permutation - What's the difference?

alteration | permutation | Related terms |

## As nouns the difference between alteration and permutation

is that alteration is the act of altering or making different while permutation is a one-to-one mapping from a finite set to itself.

# alteration

## English

### Noun

(en noun)
• The act of altering or making different.
• * 1594 , , Of the Laws of Ecclesiastical Polity ,
• alteration , though it be from worse to better, hath in it inconveniences…
• The state of being altered; a change made in the form or nature of a thing; changed condition.
• * 1892 , ,
• …and I saw by the alteration in your face that a train of thought had been started.
(Webster 1913)

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# permutation

## English

### Noun

(wikipedia permutation) (en noun)
• (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.
• (mathematics, combinatorics) An ordering of a finite set of distinct elements.
• There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
• (music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
• ### Anagrams

* importunate