Question

If $p = n(n^2-1)(n^2-4)\cdots(n^2-100)$ then how is $p$ divisible by $(21!)$?

score 57 · Answer 1 · 2026-03-25 10:57:28

57

Views

If $p = n(n^2-1)(n^2-4)\cdots(n^2-100)$ then how is $p$ divisible by $(21!)$?

Published on 25 Mar 2026 - 10:57

score 305 · Answer 2 · 2026-04-09 08:36:30

305

Views

Square board game with overlapping square sub-parts

Published on 09 Apr 2026 - 8:36

score 67 · Answer 3 · 2018-05-05 09:15:23

67

Views

Proving $|A+B| \geq |A|+|B| - 1$ for $A,B \subseteq \mathbb{Z}$ finite and non-empty

Published on 05 May 2018 - 9:15

score 1k · Answer 4 · 2026-04-11 10:07:18

1k

Views

Circular Permutation, same arrangements?

Published on 11 Apr 2026 - 10:07

score 213 · Answer 5 · 2026-04-09 12:05:32

213

Views

How to prove the maximum number of chords those can not across more than one other chord from points around the circle?

Published on 09 Apr 2026 - 12:05

score 192 · Answer 6 · 2018-05-05 17:55:08

192

Views

Garden with mushrooms

Published on 05 May 2018 - 17:55

score 1.2k · Answer 7 · 2026-04-10 19:58:54

1.2k

Views

A class with 10 kids lines up for recess. Two of the kids in the class are named Lucy and Frank.

Published on 10 Apr 2026 - 19:58

score 75 · Answer 8 · 2018-05-05 22:20:57

75

Views

Casework on Cards

Published on 05 May 2018 - 22:20

score 1.5k · Answer 9 · 2026-03-26 17:30:36

1.5k

Views

Circular Permutation, clockwise and counterclockwise can't be distinguished?

Published on 26 Mar 2026 - 17:30

score 190 · Answer 10 · 2026-03-25 01:22:33

190

Views

Can every partial transversal be extended to a maximum partial transversal?

Published on 25 Mar 2026 - 1:22

score 159 · Answer 11 · 2026-04-11 11:51:13

159

Views

Zeta polynomial of the Boolean Lattice

Published on 11 Apr 2026 - 11:51

score 104 · Answer 12 · 2026-03-29 00:00:11

104

Views

How many number of classes over matrices with $\pm 1$ entries are there, where equivalence means row/column permutation and multiplication?

Published on 29 Mar 2026 - 0:00

score 214 · Answer 13 · 2026-03-26 03:13:33

214

Views

Stirling Numbers of the Second Kind $ \sum_{j= m}^n {j \brace m} (m+1)^{n-j} = {n+1\brace m+1} $

Published on 26 Mar 2026 - 3:13

score 59 · Answer 14 · 2018-05-06 12:21:24

59

Views

Summation of this series.

Published on 06 May 2018 - 12:21

score 284 · Answer 15 · 2026-04-10 04:04:21

284

Views

Towers 'n Tets problem.

Published on 10 Apr 2026 - 4:04

List Question

If $p = n(n^2-1)(n^2-4)\cdots(n^2-100)$ then how is $p$ divisible by $(21!)$?

Square board game with overlapping square sub-parts

Proving $|A+B| \geq |A|+|B| - 1$ for $A,B \subseteq \mathbb{Z}$ finite and non-empty

Circular Permutation, same arrangements?

How to prove the maximum number of chords those can not across more than one other chord from points around the circle?

Garden with mushrooms

A class with 10 kids lines up for recess. Two of the kids in the class are named Lucy and Frank.

Casework on Cards

Circular Permutation, clockwise and counterclockwise can't be distinguished?

Can every partial transversal be extended to a maximum partial transversal?

Zeta polynomial of the Boolean Lattice

How many number of classes over matrices with $\pm 1$ entries are there, where equivalence means row/column permutation and multiplication?

Stirling Numbers of the Second Kind $ \sum_{j= m}^n {j \brace m} (m+1)^{n-j} = {n+1\brace m+1} $

Summation of this series.

Towers 'n Tets problem.

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