Question

Why is $!n\pmod{n+k}$ a multiple of $k+1$ so often?

score 283 · Answer 1 · 2019-12-27 03:39:56

283

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Why is $!n\pmod{n+k}$ a multiple of $k+1$ so often?

Published on 27 Dec 2019 - 3:39

score 92 · Answer 2 · 2020-01-03 13:56:48

92

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Link between derangement number and Bell polynomial

Published on 03 Jan 2020 - 13:56

score 2k · Answer 3 · 2020-01-04 05:38:47

Number of one-to-one functions $f: \{1, 2, 3, 4, 5\} \to \{0, 1, 2, 3, 4, 5\}$ such that $f(1) \neq 0, 1$ and $f(i) \neq i$ for $i = 2, 3, 4, 5$

score 59 · Answer 4 · 2020-01-17 07:09:06

59

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at least $3$ digit not goes to its exact position

Published on 17 Jan 2020 - 7:09

score 144 · Answer 5 · 2020-01-18 05:34:42

144

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Derangement probability distribution question: Why $\text{Var}[x] \approx E[X]$ is fulfilled?

Published on 18 Jan 2020 - 5:34

score 82 · Answer 6 · 2026-02-23 01:23:02

82

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$n$ blue letters and $n$ pink letters to place in $n$ envelopes

Published on 23 Feb 2026 - 1:23

score 68 · Answer 7 · 2020-01-26 17:55:18

68

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Number of fixed point free permutations by groupoid cardinals

Published on 26 Jan 2020 - 17:55

score 94 · Answer 8 · 2020-02-02 00:26:31

94

Views

How many possible arrangements of the word "HAIRCUT" such that one letter is in the right spot?

Published on 02 Feb 2020 - 0:26

score 73 · Answer 9 · 2020-02-09 07:08:14

73

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If n friends go to a diner, and take a hat randomly...

Published on 09 Feb 2020 - 7:08

score 44 · Answer 10 · 2020-03-23 01:36:55

44

Views

Count permutation pairs such that for each element, either permutation gives it a different position from its original position

Published on 23 Mar 2020 - 1:36

score 92 · Answer 11 · 2020-03-31 06:07:58

92

Views

One day n gentlemen came to the club. There are 2n identical pieces of cake available.

Published on 31 Mar 2020 - 6:07

score 32 · Answer 12 · 2020-03-31 14:06:18

32

Views

How to find out the number of derangements for n objects?

Published on 31 Mar 2020 - 14:06

score 64 · Answer 13 · 2020-04-02 12:44:16

64

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How to calculate number of perfect matchings?

Published on 02 Apr 2020 - 12:44

score 76 · Answer 14 · 2020-04-09 11:29:04

76

Views

Particular permutations: derangement with additional limitations

Published on 09 Apr 2020 - 11:29

score 284 · Answer 15 · 2020-04-17 15:25:53

284

Views

Combinatorics: Chess Board Example - Forbidden Positions

Published on 17 Apr 2020 - 15:25

List Question

Why is $!n\pmod{n+k}$ a multiple of $k+1$ so often?

Link between derangement number and Bell polynomial

Number of one-to-one functions $f: \{1, 2, 3, 4, 5\} \to \{0, 1, 2, 3, 4, 5\}$ such that $f(1) \neq 0, 1$ and $f(i) \neq i$ for $i = 2, 3, 4, 5$

at least $3$ digit not goes to its exact position

Derangement probability distribution question: Why $\text{Var}[x] \approx E[X]$ is fulfilled?

$n$ blue letters and $n$ pink letters to place in $n$ envelopes

Number of fixed point free permutations by groupoid cardinals

How many possible arrangements of the word "HAIRCUT" such that one letter is in the right spot?

If n friends go to a diner, and take a hat randomly...

Count permutation pairs such that for each element, either permutation gives it a different position from its original position

One day n gentlemen came to the club. There are 2n identical pieces of cake available.

How to find out the number of derangements for n objects?

How to calculate number of perfect matchings?

Particular permutations: derangement with additional limitations

Combinatorics: Chess Board Example - Forbidden Positions

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