Question

Three persons entering a railway carriage where there are 5 vacant seats. In how many ways can they seat themselves?

score 2.5k · Answer 1 · 2018-12-04 05:58:12

2.5k

Views

Three persons entering a railway carriage where there are 5 vacant seats. In how many ways can they seat themselves?

Published on 04 Dec 2018 - 5:58

score 126 · Answer 2 · 2018-12-04 05:58:31

126

Views

Number of ways to organizing n object types into 2n slots, requiring each type to be in 2 slots

Published on 04 Dec 2018 - 5:58

score 35 · Answer 3 · 2026-03-29 10:55:50

35

Views

Filling a barrel, using small containers

Published on 29 Mar 2026 - 10:55

score 1.8k · Answer 4 · 2018-12-04 16:23:47

1.8k

Views

circular r-permutations of n

Published on 04 Dec 2018 - 16:23

score 85 · Answer 5 · 2018-12-05 00:57:25

85

Views

A nonidentity permutation $\sigma$ satisfies $\sigma(i)<i$ for some $i$

Published on 05 Dec 2018 - 0:57

score 251 · Answer 6 · 2018-12-05 07:19:29

251

Views

Show that each permutation in $A_4$ has a square root.

Published on 05 Dec 2018 - 7:19

score 61 · Answer 7 · 2026-03-25 06:00:03

61

Views

Presentations of $D_8$ using permutations

Published on 25 Mar 2026 - 6:00

score 206 · Answer 8 · 2018-12-05 15:58:39

206

Views

7 reindeer in a single file line, dasher cannot be next to prancer.

Published on 05 Dec 2018 - 15:58

score 2.4k · Answer 9 · 2018-12-05 16:20:53

2.4k

Views

Number of ways to arrange the letters BANANAS

Published on 05 Dec 2018 - 16:20

score 353 · Answer 10 · 2026-02-23 01:08:08

353

Views

Cycle structure of the permutation $x \mapsto p·x\operatorname{mod}q$ for coprime $p,q$

Published on 23 Feb 2026 - 1:08

score 287 · Answer 11 · 2026-03-25 06:06:55

287

Views

Compute all $X_{g}$ and all $G_{x}$ for $X = \left \{1, 2, 3\right \}$, $G = S_{3} = \left \{(1), (12), (13), (23), (123), (132)\right \}$.

Published on 25 Mar 2026 - 6:06

score 195 · Answer 12 · 2018-12-05 22:34:05

195

Views

Permutation group of Cosets

Published on 05 Dec 2018 - 22:34

score 241 · Answer 13 · 2026-03-26 00:23:13

241

Views

Recursion $I_{n+1} = I_n + nI_{n-1}$ for the amount $I_n$ of the involutions in $S_n$

Published on 26 Mar 2026 - 0:23

score 234 · Answer 14 · 2026-03-26 06:32:53

234

Views

Number of one-one function from sets $A$ to $B$.

Published on 26 Mar 2026 - 6:32

score 597 · Answer 15 · 2018-12-06 18:15:10

597

Views

How many combinations of coins add up to \$20

Published on 06 Dec 2018 - 18:15

List Question

Three persons entering a railway carriage where there are 5 vacant seats. In how many ways can they seat themselves?

Number of ways to organizing n object types into 2n slots, requiring each type to be in 2 slots

Filling a barrel, using small containers

circular r-permutations of n

A nonidentity permutation $\sigma$ satisfies $\sigma(i)<i$ for some $i$

Show that each permutation in $A_4$ has a square root.

Presentations of $D_8$ using permutations

7 reindeer in a single file line, dasher cannot be next to prancer.

Number of ways to arrange the letters BANANAS

Cycle structure of the permutation $x \mapsto p·x\operatorname{mod}q$ for coprime $p,q$

Compute all $X_{g}$ and all $G_{x}$ for $X = \left \{1, 2, 3\right \}$, $G = S_{3} = \left \{(1), (12), (13), (23), (123), (132)\right \}$.

Permutation group of Cosets

Recursion $I_{n+1} = I_n + nI_{n-1}$ for the amount $I_n$ of the involutions in $S_n$

Number of one-one function from sets $A$ to $B$.

How many combinations of coins add up to \$20

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