Question

Integer pick with pigeon hole principle

score 522 · Answer 1 · 2018-05-18 20:32:23

522

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Integer pick with pigeon hole principle

Published on 18 May 2018 - 20:32

score 330 · Answer 2 · 2018-05-19 18:00:17

330

Views

IMO $2014$ shortlist question. PigeonHole-Principle to solve?

Published on 19 May 2018 - 18:00

score 184 · Answer 3 · 2018-05-23 18:52:04

184

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Seat n people in 4 benches

Published on 23 May 2018 - 18:52

score 587 · Answer 4 · 2018-05-27 05:47:15

587

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What is the greatest number of stickers she could take out of the bag if she stops when she has $3$ stickers of the same colour?

Published on 27 May 2018 - 5:47

score 161 · Answer 5 · 2018-05-28 14:38:33

161

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Prove that for a family of $100n$ subsets of a $[n]$ such that each subset has size $m$, there exists two whose intersection is at least $m^2/10n$.

Published on 28 May 2018 - 14:38

score 1.6k · Answer 6 · 2026-03-22 05:51:18

1.6k

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Prove that a graph with $100$ vertices with each edge having degree at most $4$ contains an empty graph of order $20$.

Published on 22 Mar 2026 - 5:51

score 433 · Answer 7 · 2026-03-22 11:49:31

433

Views

There is two triangles with common edge in graph $\Gamma$

Published on 22 Mar 2026 - 11:49

score 138 · Answer 8 · 2018-06-01 01:03:22

138

Views

To prove there exists a particular format of multiple

Published on 01 Jun 2018 - 1:03

score 232 · Answer 9 · 2018-06-04 15:57:03

232

Views

Proof of simple graph using pigeonhole theorem

Published on 04 Jun 2018 - 15:57

score 479 · Answer 10 · 2018-06-05 12:31:16

479

Views

In every set of 100 integers, there exist two whose difference is a multiple of 37.

Published on 05 Jun 2018 - 12:31

score 9.1k · Answer 11 · 2018-06-07 10:46:18

9.1k

Views

The pigeonhole principle and a professor who knows $9$ jokes and tells $3$ jokes per lecture

Published on 07 Jun 2018 - 10:46

score 74 · Answer 12 · 2018-06-11 16:07:03

74

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Pigeonhole principle for boxes

Published on 11 Jun 2018 - 16:07

score 154 · Answer 13 · 2018-06-11 23:29:48

154

Views

Putnam Question (Pigeonhole Principle on divisibility of sequences)

Published on 11 Jun 2018 - 23:29

score 87 · Answer 14 · 2018-06-12 09:17:21

87

Views

Choosing a balanced subsequence

Published on 12 Jun 2018 - 9:17

score 119 · Answer 15 · 2018-06-20 08:11:46

119

Views

Can I use the pigeon-hole principle to show that $a^2-2b^2=p$ has a solution?

Published on 20 Jun 2018 - 8:11

List Question

Integer pick with pigeon hole principle

IMO $2014$ shortlist question. PigeonHole-Principle to solve?

Seat n people in 4 benches

What is the greatest number of stickers she could take out of the bag if she stops when she has $3$ stickers of the same colour?

Prove that for a family of $100n$ subsets of a $[n]$ such that each subset has size $m$, there exists two whose intersection is at least $m^2/10n$.

Prove that a graph with $100$ vertices with each edge having degree at most $4$ contains an empty graph of order $20$.

There is two triangles with common edge in graph $\Gamma$

To prove there exists a particular format of multiple

Proof of simple graph using pigeonhole theorem

In every set of 100 integers, there exist two whose difference is a multiple of 37.

The pigeonhole principle and a professor who knows $9$ jokes and tells $3$ jokes per lecture

Pigeonhole principle for boxes

Putnam Question (Pigeonhole Principle on divisibility of sequences)

Choosing a balanced subsequence

Can I use the pigeon-hole principle to show that $a^2-2b^2=p$ has a solution?

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