Question

Given $n$ unique items and an $m^{th}$ normalised value, compute $m^{th}$ permutation without factorial expansion

score 64 · Answer 1 · 2026-03-25 11:22:43

64

Views

Given $n$ unique items and an $m^{th}$ normalised value, compute $m^{th}$ permutation without factorial expansion

Published on 25 Mar 2026 - 11:22

score 77 · Answer 2 · 2026-04-10 10:28:11

77

Views

Is a transitive subgroup $H \leq S_n$ of cardinality $n$ automatically cyclic?

Published on 10 Apr 2026 - 10:28

score 785 · Answer 3 · 2026-04-25 01:25:00

785

Views

Shift Modulo Operation

Published on 25 Apr 2026 - 1:25

score 305 · Answer 4 · 2026-04-10 17:59:29

305

Views

Arrangement in a circle

Published on 10 Apr 2026 - 17:59

score 176 · Answer 5 · 2026-04-17 06:14:18

176

Views

Prove or disprove that $PQ = P + Q - I$ if $P$ and $Q$ are disjoint permutation matrices whose cycle lengths sum to $n.$

Published on 17 Apr 2026 - 6:14

score 70 · Answer 6 · 2026-04-10 04:29:04

70

Views

Is this a violation of the Pigeonhole Principle?

Published on 10 Apr 2026 - 4:29

score 3.1k · Answer 7 · 2026-04-16 22:48:06

3.1k

Views

Expected number of cards in original position in a shuffled deck of $52$ cards?

Published on 16 Apr 2026 - 22:48

score 31 · Answer 8 · 2026-04-17 10:12:32

31

Views

Conditional probabilities& permutations

Published on 17 Apr 2026 - 10:12

score 37 · Answer 9 · 2026-04-11 20:13:12

37

Views

Possible ways for non-mandatory distribution of $b$ unique bottles and $p$ unique pens to $n$ unique students

Published on 11 Apr 2026 - 20:13

score 186 · Answer 10 · 2026-04-17 06:06:57

186

Views

Number of possible ways to arrange a group of students

Published on 17 Apr 2026 - 6:06

score 2.7k · Answer 11 · 2026-04-15 20:58:57

2.7k

Views

Number of positive integral solutions for $\frac {xy}{x+y} = 2^33^45^6$

Published on 15 Apr 2026 - 20:58

score 55 · Answer 12 · 2026-04-15 13:28:25

55

Views

If $\pi$ is a permutation, how many permutation $\sigma$ can be reached from $\pi$ exchanging $r$ indices?

Published on 15 Apr 2026 - 13:28

score 164 · Answer 13 · 2026-04-28 15:08:27

164

Views

Can the fact that the identity permutation is (only) even be proven by means of the sign function?

Published on 28 Apr 2026 - 15:08

score 484 · Answer 14 · 2026-04-15 22:36:31

484

Views

Prove that if P and Q are permutation matrices with $(P-I)(Q−I) = 0$ then they represent disjoint permutations.

Published on 15 Apr 2026 - 22:36

score 78 · Answer 15 · 2026-04-12 14:58:03

78

Views

How to determine to most probable permutations?

Published on 12 Apr 2026 - 14:58

List Question

Given $n$ unique items and an $m^{th}$ normalised value, compute $m^{th}$ permutation without factorial expansion

Is a transitive subgroup $H \leq S_n$ of cardinality $n$ automatically cyclic?

Shift Modulo Operation

Arrangement in a circle

Prove or disprove that $PQ = P + Q - I$ if $P$ and $Q$ are disjoint permutation matrices whose cycle lengths sum to $n.$

Is this a violation of the Pigeonhole Principle?

Expected number of cards in original position in a shuffled deck of $52$ cards?

Conditional probabilities& permutations

Possible ways for non-mandatory distribution of $b$ unique bottles and $p$ unique pens to $n$ unique students

Number of possible ways to arrange a group of students

Number of positive integral solutions for $\frac {xy}{x+y} = 2^33^45^6$

If $\pi$ is a permutation, how many permutation $\sigma$ can be reached from $\pi$ exchanging $r$ indices?

Can the fact that the identity permutation is (only) even be proven by means of the sign function?

Prove that if P and Q are permutation matrices with $(P-I)(Q−I) = 0$ then they represent disjoint permutations.

How to determine to most probable permutations?

Trending Questions

Popular # Hahtags

Popular Questions