Question

Is the volume of the largest hyperrectangle inscribed in a convex polytope always larger than some fixed proportion of the polytopes volume?

score 70 · Answer 1 · 2026-04-14 04:45:45

70

Views

Is the volume of the largest hyperrectangle inscribed in a convex polytope always larger than some fixed proportion of the polytopes volume?

Published on 14 Apr 2026 - 4:45

score 159 · Answer 2 · 2026-04-13 03:10:35

159

Views

Inclusion Exclusion Principle Combinatorics

Published on 13 Apr 2026 - 3:10

score 111 · Answer 3 · 2026-04-14 18:01:59

Number of ways delegates can be seated if $A$ and $B$ are to be seated next to each other and $C$ and $D$ are not to be seated next to each other

score 446 · Answer 4 · 2026-04-15 03:46:59

446

Views

What is the probability that the sum of the numbers drawn is $10$ at any point in the process?

Published on 15 Apr 2026 - 3:46

score 360 · Answer 5 · 2026-04-15 07:40:18

360

Views

Combinatorial Problem, 30 balls, 3 unique colors, 10 of each color. We pick 20, probability of getting 3 unique colors?

Published on 15 Apr 2026 - 7:40

score 179 · Answer 6 · 2026-04-17 09:49:17

179

Views

Evaluate: $\frac{1}{(1+1)!} + \frac{2}{(2+1)!}+...+\frac{n}{(n+1)!}$ using combinatorics.

Published on 17 Apr 2026 - 9:49

score 80 · Answer 7 · 2026-04-14 07:53:29

80

Views

Bronze and silver beads

Published on 14 Apr 2026 - 7:53

score 230 · Answer 8 · 2026-04-15 13:04:36

Arranging 4 Indians, 4 Americans and 4 Russians in a row such that three consecutive people are of different nationalities

score 62 · Answer 9 · 2026-04-16 20:17:52

62

Views

How do I find number of subsets satisfying two constraints?

Published on 16 Apr 2026 - 20:17

score 239 · Answer 10 · 2026-04-22 05:37:23

239

Views

Simplified $\sum_{n=a_1k_1+a_2k_2+\cdots+a_mk_m}\frac{(a_1+a_1+\cdots+a_m)!}{a_1!\cdot a_2!\cdots a_m!}\prod_{i=1}^m \left(f(k_i)\right)^{a_i}$

Published on 22 Apr 2026 - 5:37

score 28 · Answer 11 · 2026-04-10 05:19:38

28

Views

Generalise ways to choose a given amount from 2 sources

Published on 10 Apr 2026 - 5:19

score 57 · Answer 12 · 2026-04-13 10:48:08

57

Views

$k$-out-of-$n$ combinations, arranged as matrices, satisfying certain conditions

Published on 13 Apr 2026 - 10:48

score 499 · Answer 13 · 2026-04-10 22:20:13

499

Views

Nested summation - intuition

Published on 10 Apr 2026 - 22:20

score 99 · Answer 14 · 2026-04-14 13:53:29

99

Views

Combinatorics: Number of ways to split a sample equally and randomly.

Published on 14 Apr 2026 - 13:53

score 84 · Answer 15 · 2026-04-13 15:42:54

84

Views

Partitions of combinations?

Published on 13 Apr 2026 - 15:42

List Question

Is the volume of the largest hyperrectangle inscribed in a convex polytope always larger than some fixed proportion of the polytopes volume?

Inclusion Exclusion Principle Combinatorics

Number of ways delegates can be seated if $A$ and $B$ are to be seated next to each other and $C$ and $D$ are not to be seated next to each other

What is the probability that the sum of the numbers drawn is $10$ at any point in the process?

Combinatorial Problem, 30 balls, 3 unique colors, 10 of each color. We pick 20, probability of getting 3 unique colors?

Evaluate: $\frac{1}{(1+1)!} + \frac{2}{(2+1)!}+...+\frac{n}{(n+1)!}$ using combinatorics.

Bronze and silver beads

Arranging 4 Indians, 4 Americans and 4 Russians in a row such that three consecutive people are of different nationalities

How do I find number of subsets satisfying two constraints?

Simplified $\sum_{n=a_1k_1+a_2k_2+\cdots+a_mk_m}\frac{(a_1+a_1+\cdots+a_m)!}{a_1!\cdot a_2!\cdots a_m!}\prod_{i=1}^m \left(f(k_i)\right)^{a_i}$

Generalise ways to choose a given amount from 2 sources

$k$-out-of-$n$ combinations, arranged as matrices, satisfying certain conditions

Nested summation - intuition

Combinatorics: Number of ways to split a sample equally and randomly.

Partitions of combinations?

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