Question

Is $(\sigma\circ \tau)^n=\sigma^n\circ\tau^n$?

score 77 · Answer 1 · 2026-04-15 19:05:52

77

Views

Is $(\sigma\circ \tau)^n=\sigma^n\circ\tau^n$?

Published on 15 Apr 2026 - 19:05

score 701 · Answer 2 · 2026-04-10 23:48:14

701

Views

Derangement with letters repeated.

Published on 10 Apr 2026 - 23:48

score 543 · Answer 3 · 2026-04-17 09:33:44

543

Views

Let $\sigma$ be the 5-cycle $(1\:2\;3\;4\;5)$ in $S_5$. Find the element $\tau \in S_5$ which accomplishes the specified conjugation

Published on 17 Apr 2026 - 9:33

score 686 · Answer 4 · 2026-04-14 07:07:56

686

Views

What is the probability that in a company of $500$ people, only two persons will have birthdays on New Year’s Day?

Published on 14 Apr 2026 - 7:07

score 52 · Answer 5 · 2026-04-12 18:27:43

52

Views

How to determine the expected number of items to be selected before the first right item

Published on 12 Apr 2026 - 18:27

score 169 · Answer 6 · 2026-04-13 16:50:01

169

Views

Are all transpositions of a finite set conjugate to each other under action by inner automorphisms?

Published on 13 Apr 2026 - 16:50

score 1.1k · Answer 7 · 2026-04-12 19:54:49

1.1k

Views

How many ways to arrange 2 distinct things in 3 ways?

Published on 12 Apr 2026 - 19:54

score 1.4k · Answer 8 · 2026-04-12 02:14:17

1.4k

Views

Hard permutations and combinations problem

Published on 12 Apr 2026 - 2:14

score 98 · Answer 9 · 2026-04-12 03:47:39

98

Views

Multiplying two transpositions using cycle notation

Published on 12 Apr 2026 - 3:47

score 67 · Answer 10 · 2026-03-26 07:58:52

67

Views

Simplify $(1\, 2)(3\, 4)(1\, 3)(2\, 4)$ into composite of two transpositions

Published on 26 Mar 2026 - 7:58

score 102 · Answer 11 · 2026-04-15 20:58:55

102

Views

Showing that the alternating group $A_n$ is generated by a specific set of 3-cycles

Published on 15 Apr 2026 - 20:58

score 696 · Answer 12 · 2026-04-13 23:32:38

696

Views

Generators of alternating group $A_n$ for odd and even $n$

Published on 13 Apr 2026 - 23:32

score 515 · Answer 13 · 2026-04-12 07:09:43

515

Views

Roll a ball Combinatorics Question

Published on 12 Apr 2026 - 7:09

score 32 · Answer 14 · 2026-04-13 03:04:56

32

Views

A Question on Permutations and Binomial Distributions

Published on 13 Apr 2026 - 3:04

score 82 · Answer 15 · 2026-04-16 10:11:14

82

Views

Why does $\frac{\displaystyle\sum_{x=3}^n{\frac{n!}{(n-x)!}}}{n!}\text{ as }n\to\infty$ give euler's number?

Published on 16 Apr 2026 - 10:11

List Question

Is $(\sigma\circ \tau)^n=\sigma^n\circ\tau^n$?

Derangement with letters repeated.

Let $\sigma$ be the 5-cycle $(1\:2\;3\;4\;5)$ in $S_5$. Find the element $\tau \in S_5$ which accomplishes the specified conjugation

What is the probability that in a company of $500$ people, only two persons will have birthdays on New Year’s Day?

How to determine the expected number of items to be selected before the first right item

Are all transpositions of a finite set conjugate to each other under action by inner automorphisms?

How many ways to arrange 2 distinct things in 3 ways?

Hard permutations and combinations problem

Multiplying two transpositions using cycle notation

Simplify $(1\, 2)(3\, 4)(1\, 3)(2\, 4)$ into composite of two transpositions

Showing that the alternating group $A_n$ is generated by a specific set of 3-cycles

Generators of alternating group $A_n$ for odd and even $n$

Roll a ball Combinatorics Question

A Question on Permutations and Binomial Distributions

Why does $\frac{\displaystyle\sum_{x=3}^n{\frac{n!}{(n-x)!}}}{n!}\text{ as }n\to\infty$ give euler's number?

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