Question

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

score 747 · Answer 1 · 2026-05-07 10:09:01

747

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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 07 May 2026 - 10:09

score 111 · Answer 2 · 2026-04-24 02:53:54

111

Views

Polyominoes with the most reflex exterior angles

Published on 24 Apr 2026 - 2:53

score 108 · Answer 3 · 2026-04-28 02:24:09

108

Views

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

Published on 28 Apr 2026 - 2:24

score 235 · Answer 4 · 2026-04-28 02:20:55

235

Views

Bound on conditional expectation and conditional probability

Published on 28 Apr 2026 - 2:20

score 114 · Answer 5 · 2026-04-28 02:24:09

114

Views

combinatorics for valid Password with blacklist word

Published on 28 Apr 2026 - 2:24

score 111 · Answer 6 · 2026-04-29 12:46:55

111

Views

On properties of extremal graphs

Published on 29 Apr 2026 - 12:46

score 107 · Answer 7 · 2026-04-28 02:20:53

107

Views

Minimizing maximal adjacent integer sum on a circle

Published on 28 Apr 2026 - 2:20

score 223 · Answer 8 · 2026-04-28 02:24:10

223

Views

Simpler solution for EGMO 2018 Problem 3?

Published on 28 Apr 2026 - 2:24

score 906 · Answer 9 · 2026-05-02 09:45:52

906

Views

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

Published on 02 May 2026 - 9:45

score 187 · Answer 10 · 2026-04-28 02:20:53

187

Views

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

Published on 28 Apr 2026 - 2:20

score 51 · Answer 11 · 2026-04-28 02:24:09

51

Views

Finding the optimal placement of weights on a circle

Published on 28 Apr 2026 - 2:24

score 684 · Answer 12 · 2026-04-28 02:24:10

684

Views

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

Published on 28 Apr 2026 - 2:24

score 1.7k · Answer 13 · 2026-04-28 02:21:06

1.7k

Views

An invisible ghost jumping on a regular hexagon

Published on 28 Apr 2026 - 2:21

score 239 · Answer 14 · 2026-04-28 02:24:09

239

Views

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

Published on 28 Apr 2026 - 2:24

score 248 · Answer 15 · 2026-04-28 02:24:10

248

Views

Clarification about this proof about Dilworth's Theorem

Published on 28 Apr 2026 - 2:24

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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