Question

Prove that there exists a set of ${}_k\text{P}_n$ permutations of $(1, 2, ..., k)$ where no two permutations have n elements matching.

score 103 · Answer 1 · 2026-04-15 03:27:14

Prove that there exists a set of ${}_k\text{P}_n$ permutations of $(1, 2, ..., k)$ where no two permutations have n elements matching.

score 100 · Answer 2 · 2026-05-10 15:52:14

100

Views

Please vet analysis for wrong way of computing choices for three-of-a-kind.

Published on 10 May 2026 - 15:52

score 202 · Answer 3 · 2026-04-15 21:30:28

202

Views

Derive coefficients for equivalence of polynomial involving falling factorials

Published on 15 Apr 2026 - 21:30

score 65 · Answer 4 · 2026-04-14 15:56:03

65

Views

How to build a matrix $M \in Mat_{1000 \times 1000}(\mathbb{R})$ to represent all possible combinations of a 6 digits code

Published on 14 Apr 2026 - 15:56

score 76 · Answer 5 · 2026-04-11 15:14:12

76

Views

What is wrong with this combinatorial problem

Published on 11 Apr 2026 - 15:14

score 547 · Answer 6 · 2026-04-13 06:00:20

547

Views

Probability of getting a head on multiple tosses of a coin

Published on 13 Apr 2026 - 6:00

score 65 · Answer 7 · 2026-05-15 13:00:32

65

Views

Largest value of $n$ such that the complementary set of any $n$-element subset contains at least two elements that are coprime

Published on 15 May 2026 - 13:00

score 1.1k · Answer 8 · 2026-04-16 05:12:10

1.1k

Views

Number of garlands which could be formed by using $3$ flowers of same type and $12$ flowers of other type.

Published on 16 Apr 2026 - 5:12

score 509 · Answer 9 · 2026-05-10 15:14:01

509

Views

Show that $M_k(G)$ is the set of independent sets of a matroid!

Published on 10 May 2026 - 15:14

score 156 · Answer 10 · 2026-04-15 05:30:46

156

Views

The Knights Quest round table

Published on 15 Apr 2026 - 5:30

score 311 · Answer 11 · 2026-04-14 00:49:32

311

Views

Rhythm combinations in a 16 notes bar.

Published on 14 Apr 2026 - 0:49

score 266 · Answer 12 · 2026-04-09 14:20:09

266

Views

Probability - choose gloves

Published on 09 Apr 2026 - 14:20

score 561 · Answer 13 · 2026-04-15 04:44:28

561

Views

Counting problem.How many different bowls can be made if:

Published on 15 Apr 2026 - 4:44

score 242 · Answer 14 · 2026-04-13 19:51:24

242

Views

Does it hold that $\displaystyle\sum_{j=2}^{n-1}\sum_{k=1}^{j-1}\Big(\frac{2}{kj}-\frac{1}{k(n-j)}\Big)=0$?

Published on 13 Apr 2026 - 19:51

score 51 · Answer 15 · 2026-04-17 01:12:47

51

Views

Closed form for a class of recursive functions

Published on 17 Apr 2026 - 1:12

List Question

Prove that there exists a set of ${}_k\text{P}_n$ permutations of $(1, 2, ..., k)$ where no two permutations have n elements matching.

Please vet analysis for wrong way of computing choices for three-of-a-kind.

Derive coefficients for equivalence of polynomial involving falling factorials

How to build a matrix $M \in Mat_{1000 \times 1000}(\mathbb{R})$ to represent all possible combinations of a 6 digits code

What is wrong with this combinatorial problem

Probability of getting a head on multiple tosses of a coin

Largest value of $n$ such that the complementary set of any $n$-element subset contains at least two elements that are coprime

Number of garlands which could be formed by using $3$ flowers of same type and $12$ flowers of other type.

Show that $M_k(G)$ is the set of independent sets of a matroid!

The Knights Quest round table

Rhythm combinations in a 16 notes bar.

Probability - choose gloves

Counting problem.How many different bowls can be made if:

Does it hold that $\displaystyle\sum_{j=2}^{n-1}\sum_{k=1}^{j-1}\Big(\frac{2}{kj}-\frac{1}{k(n-j)}\Big)=0$?

Closed form for a class of recursive functions

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