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In combinatorial mathematics, a derangement is a permutation of the elements of a set in which no element appears in its original position. In other words, a derangement is a permutation that has no fixed points.
Generalizations, Growth rate & Counting derangements
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derangements displaystyle number set problem sum permutation frac -1 permutations dn ways one h1 left right fixed hats p1 hat
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Derangement | is a | permutation of the elements of a set in which no element appears in its original position | 0.90 | text |
| Derangement | is a | permutation that has no fixed points.The number of derangements of a set of size n is known as the n th derangement number or the subfactorial of n or n th de Montmort number | 0.90 | text |
| Derangement | is a | permutation that leaves none of the n objects fixed | 0.90 | text |
| Derangement | related to Asymptotic expansion in terms of Bell numbers | An | 0.60 | section |
| Derangement | related to Asymptotic expansion in terms of Bell numbers | Bell | 0.60 | section |
| Derangement | related to Asymptotic expansion in terms of Bell numbers | Bk | 0.60 | section |
| Derangement | related to Asymptotic expansion in terms of Bell numbers | Moreover | 0.60 | section |
| Derangement | related to Asymptotic expansion in terms of Bell numbers | O-term | 0.60 | section |
| Derangement | related to Asymptotic expansion in terms of Bell numbers | Bm | 0.60 | section |
| Derangement | related to Computational complexity | It | 0.60 | section |
| Derangement | related to Computational complexity | NP-complete | 0.60 | section |
| Derangement | related to Counting derangements | Counting | 0.60 | section |
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