Derangement: meaning, definitions and examples
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derangement
[ dɪˈreɪndʒmənt ]
mathematics
A derangement is a permutation of the elements of a set, such that no element appears in its original position. In simpler terms, it is a way to rearrange a set of objects so that none of the objects are in their original positions.
Synonyms
Examples of usage
- A derangement of the set {1, 2, 3} would be {2, 3, 1}.
- In a derangement, each element is displaced from its original position.
Word origin
The term 'derangement' originated in mathematics, specifically in the field of combinatorics. It has been used to describe permutations where no element retains its original position. The concept of derangements has applications in various mathematical problems and puzzles, such as the famous '15 puzzle'.
See also: deranged.