Question

Pigeonhole principle proof sequence of 1's divisible by a number

score 829 · Answer 1 · 2022-11-13 21:21:10

829

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Pigeonhole principle proof sequence of 1's divisible by a number

Published on 13 Nov 2022 - 21:21

score 46 · Answer 2 · 2022-11-16 10:27:24

46

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For any $k$ element set $\{x_1, x_2, x_3, ... x_k\}$, there is a 6 element subset such that the sum of its elements is divisible by 6. Values of $k$?

Published on 16 Nov 2022 - 10:27

score 170 · Answer 3 · 2022-11-17 20:55:44

170

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Orderly permutations with sets

Published on 17 Nov 2022 - 20:55

score 91 · Answer 4 · 2022-11-19 06:13:43

91

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Prove that there is a red segment and a black segment having the same length.

Published on 19 Nov 2022 - 6:13

score 78 · Answer 5 · 2026-03-29 20:53:36

78

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Doubt regarding application of pigeonhole principle in the proof of sunflower lemma.

Published on 29 Mar 2026 - 20:53

score 61 · Answer 6 · 2022-11-27 05:54:13

61

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Pigeon hole exercise: proving 6 recognize each other out of 12

Published on 27 Nov 2022 - 5:54

score 371 · Answer 7 · 2022-12-05 09:44:40

371

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Question about the PHP (The pigeonhole principle PHP)

Published on 05 Dec 2022 - 9:44

score 77 · Answer 8 · 2026-03-28 01:07:12

77

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Why it is not possible to find a 3-colouring of this network, explain using pigeon hole principle.

Published on 28 Mar 2026 - 1:07

score 33 · Answer 9 · 2022-12-09 14:05:50

33

Views

Show that two points must be there with distance less than 5

Published on 09 Dec 2022 - 14:05

score 63 · Answer 10 · 2022-12-14 20:29:13

63

Views

Addition of some chosen natural numbers is always divisible by 2011

Published on 14 Dec 2022 - 20:29

score 264 · Answer 11 · 2022-12-17 06:55:02

How can we say that by using pigeon hole principle , increasing and decreasing sequence length is same while proving Erdős–Szekeres theorem?

score 42 · Answer 12 · 2022-12-17 17:33:11

42

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Counting Choices & Pigeonhole Principle

Published on 17 Dec 2022 - 17:33

score 396 · Answer 13 · 2022-12-21 09:05:49

396

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What is the minimum number of integers required to guarantee that there will be two among them whose difference is divisible by 8?

Published on 21 Dec 2022 - 9:05

score 466 · Answer 14 · 2026-03-29 11:02:03

466

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Coloring every point of the plane with 4 colors

Published on 29 Mar 2026 - 11:02

score 127 · Answer 15 · 2026-03-27 22:51:18

127

Views

Equality case in Dirichlet's approximation theorem

Published on 27 Mar 2026 - 22:51

List Question

Pigeonhole principle proof sequence of 1's divisible by a number

For any $k$ element set $\{x_1, x_2, x_3, ... x_k\}$, there is a 6 element subset such that the sum of its elements is divisible by 6. Values of $k$?

Orderly permutations with sets

Prove that there is a red segment and a black segment having the same length.

Doubt regarding application of pigeonhole principle in the proof of sunflower lemma.

Pigeon hole exercise: proving 6 recognize each other out of 12

Question about the PHP (The pigeonhole principle PHP)

Why it is not possible to find a 3-colouring of this network, explain using pigeon hole principle.

Show that two points must be there with distance less than 5

Addition of some chosen natural numbers is always divisible by 2011

How can we say that by using pigeon hole principle , increasing and decreasing sequence length is same while proving Erdős–Szekeres theorem?

Counting Choices & Pigeonhole Principle

What is the minimum number of integers required to guarantee that there will be two among them whose difference is divisible by 8?

Coloring every point of the plane with 4 colors

Equality case in Dirichlet's approximation theorem

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