Question

A conference uses $4$ main languages. Prove that there is a language that at least $\dfrac{3}{5}$ of the delegates know.

score 736 · Answer 1 · 2026-03-17 13:22:11

736

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A conference uses $4$ main languages. Prove that there is a language that at least $\dfrac{3}{5}$ of the delegates know.

Published on 17 Mar 2026 - 13:22

score 104 · Answer 2 · 2026-03-17 21:05:15

104

Views

Polyominoes with the most reflex exterior angles

Published on 17 Mar 2026 - 21:05

score 105 · Answer 3 · 2026-03-24 12:24:05

105

Views

Groups whose minimal number of generators is $\log_2(|G|)$

Published on 24 Mar 2026 - 12:24

score 233 · Answer 4 · 2026-03-24 13:40:45

233

Views

Bound on conditional expectation and conditional probability

Published on 24 Mar 2026 - 13:40

score 111 · Answer 5 · 2026-03-24 12:14:06

111

Views

combinatorics for valid Password with blacklist word

Published on 24 Mar 2026 - 12:14

score 105 · Answer 6 · 2026-03-21 19:28:51

105

Views

On properties of extremal graphs

Published on 21 Mar 2026 - 19:28

score 105 · Answer 7 · 2026-03-24 15:52:26

105

Views

Minimizing maximal adjacent integer sum on a circle

Published on 24 Mar 2026 - 15:52

score 220 · Answer 8 · 2026-03-24 08:50:40

220

Views

Simpler solution for EGMO 2018 Problem 3?

Published on 24 Mar 2026 - 8:50

score 898 · Answer 9 · 2026-03-17 15:37:39

898

Views

Smallest region that can contain all free $n$-ominoes.

Published on 17 Mar 2026 - 15:37

score 185 · Answer 10 · 2026-03-24 04:54:23

185

Views

Size of collection of $k$-element subsets of $n$-element set whose pairwise intersections are at most 2.

Published on 24 Mar 2026 - 4:54

score 47 · Answer 11 · 2026-03-23 22:34:10

47

Views

Finding the optimal placement of weights on a circle

Published on 23 Mar 2026 - 22:34

score 681 · Answer 12 · 2026-03-24 09:31:40

681

Views

Two points no matter how you choose from the six points in the unit disk are at distance at most 1?

Published on 24 Mar 2026 - 9:31

score 1.7k · Answer 13 · 2026-03-24 01:34:43

1.7k

Views

An invisible ghost jumping on a regular hexagon

Published on 24 Mar 2026 - 1:34

score 236 · Answer 14 · 2026-03-24 10:41:42

236

Views

Looking for name of combinatorial problem- Permute rows and columns to minimize distance to target matrix

Published on 24 Mar 2026 - 10:41

score 244 · Answer 15 · 2026-03-24 10:08:40

244

Views

Clarification about this proof about Dilworth's Theorem

Published on 24 Mar 2026 - 10:08

List Question

A conference uses $4$ main languages. Prove that there is a language that at least $\dfrac{3}{5}$ of the delegates know.

Polyominoes with the most reflex exterior angles

Groups whose minimal number of generators is $\log_2(|G|)$

Bound on conditional expectation and conditional probability

combinatorics for valid Password with blacklist word

On properties of extremal graphs

Minimizing maximal adjacent integer sum on a circle

Simpler solution for EGMO 2018 Problem 3?

Smallest region that can contain all free $n$-ominoes.

Size of collection of $k$-element subsets of $n$-element set whose pairwise intersections are at most 2.

Finding the optimal placement of weights on a circle

Two points no matter how you choose from the six points in the unit disk are at distance at most 1?

An invisible ghost jumping on a regular hexagon

Looking for name of combinatorial problem- Permute rows and columns to minimize distance to target matrix

Clarification about this proof about Dilworth's Theorem

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