Question

The lobster eating problem, a circular table and the possible table arrangement

score 90 · Answer 1 · 2018-12-06 21:23:22

90

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The lobster eating problem, a circular table and the possible table arrangement

Published on 06 Dec 2018 - 21:23

score 64 · Answer 2 · 2026-03-29 12:31:53

64

Views

Counting Logic for Subsets, Password Combination, etc. Need clarification if my understanding is correct to approach these scenarios?

Published on 29 Mar 2026 - 12:31

score 1.3k · Answer 3 · 2026-03-29 14:07:19

1.3k

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Four men go into a restaurant and leave their umbrellas at the door

Published on 29 Mar 2026 - 14:07

score 358 · Answer 4 · 2018-12-07 09:39:51

358

Views

How many different arrangements are there if Bob and Sally must always be seated next to each other?

Published on 07 Dec 2018 - 9:39

score 183 · Answer 5 · 2026-03-29 10:48:21

183

Views

How many strings of four decimal digits do not contain the same digit twice

Published on 29 Mar 2026 - 10:48

score 101 · Answer 6 · 2018-12-07 18:32:15

101

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How to compute the powers of $\tau$?

Published on 07 Dec 2018 - 18:32

score 33 · Answer 7 · 2026-03-29 10:49:13

33

Views

How many random 3 letter words have exactly 1 "A"? No repetitions. Trying to build intuition here

Published on 29 Mar 2026 - 10:49

score 67 · Answer 8 · 2026-02-23 07:01:03

67

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Show that $\alpha = (1 2 3)(2 3 4)(5 6 7)(7 8 9 10)$ has order $10$ in $S_n$ $(n\geq10)$.

Published on 23 Feb 2026 - 7:01

score 131 · Answer 9 · 2026-03-28 10:41:31

131

Views

Is there an $11$-element circular permutation of $\{1,2,...,12\}$ with all $|a_i-a_{i+1}|$ distinct?

Published on 28 Mar 2026 - 10:41

score 376 · Answer 10 · 2018-12-08 20:24:22

376

Views

Letter permutation MISSISISPPI, S come before any I

Published on 08 Dec 2018 - 20:24

score 200 · Answer 11 · 2026-03-25 06:06:49

200

Views

Let $n$ be an odd positive integer and $a\in S_n$ be an $n$-cycle. Show that the order of $C(a)$ must be odd.

Published on 25 Mar 2026 - 6:06

score 256 · Answer 12 · 2018-12-09 14:50:12

256

Views

In how many ways can $3$ boys and $2$ girls sit in a row, where none of the 3 boys can sit next to an another boy?

Published on 09 Dec 2018 - 14:50

score 40 · Answer 13 · 2026-03-29 12:38:29

40

Views

Discrete math counting principles

Published on 29 Mar 2026 - 12:38

score 841 · Answer 14 · 2026-03-25 09:51:54

841

Views

Find $f,g$ s.t. $f\circ g=\begin{pmatrix}1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10\\ 10 & 4 & 5 & 7 & 8 & 9 & 2 & 6 & 3 & 1\end{pmatrix}.$

Published on 25 Mar 2026 - 9:51

score 44 · Answer 15 · 2018-12-10 00:26:17

44

Views

Number of ways to arrange 0 marbles?

Published on 10 Dec 2018 - 0:26

List Question

The lobster eating problem, a circular table and the possible table arrangement

Counting Logic for Subsets, Password Combination, etc. Need clarification if my understanding is correct to approach these scenarios?

Four men go into a restaurant and leave their umbrellas at the door

How many different arrangements are there if Bob and Sally must always be seated next to each other?

How many strings of four decimal digits do not contain the same digit twice

How to compute the powers of $\tau$?

How many random 3 letter words have exactly 1 "A"? No repetitions. Trying to build intuition here

Show that $\alpha = (1 2 3)(2 3 4)(5 6 7)(7 8 9 10)$ has order $10$ in $S_n$ $(n\geq10)$.

Is there an $11$-element circular permutation of $\{1,2,...,12\}$ with all $|a_i-a_{i+1}|$ distinct?

Letter permutation MISSISISPPI, S come before any I

Let $n$ be an odd positive integer and $a\in S_n$ be an $n$-cycle. Show that the order of $C(a)$ must be odd.

In how many ways can $3$ boys and $2$ girls sit in a row, where none of the 3 boys can sit next to an another boy?

Discrete math counting principles

Find $f,g$ s.t. $f\circ g=\begin{pmatrix}1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10\\ 10 & 4 & 5 & 7 & 8 & 9 & 2 & 6 & 3 & 1\end{pmatrix}.$

Number of ways to arrange 0 marbles?

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