Question

Explain why two students will have shaken the same number of hands.

score 82 · Answer 1 · 2021-10-22 01:23:40

Explain why two students will have shaken the same number of hands.

Published on 22 Oct 2021 - 1:23

score 119 · Answer 2 · 2021-10-27 00:19:51

Consider the terms with base five with non-negative powers:$5^0, 5^1, 5^2, ……$,prove there are two of these terms which differ by a multiple of 2021.

score 84 · Answer 3 · 2021-10-30 11:05:22

84

Views

If you sum all possible subsets of peoples' birthday dates in a group of 7 people, will two sets always have the same sum?

Published on 30 Oct 2021 - 11:05

score 232 · Answer 4 · 2021-11-02 15:23:06

232

Views

How do i find the number of gangs in this question?

Published on 02 Nov 2021 - 15:23

score 1.6k · Answer 5 · 2026-02-24 02:19:12

1.6k

Views

Find the smallest natural number $n$ such that every $n$-element subset of $S=\{1,2,\dots,280\}$ contains $5$ pairwise relatively prime numbers

Published on 24 Feb 2026 - 2:19

score 164 · Answer 6 · 2021-11-04 07:28:25

164

Views

Minimum number of chopsticks to get 4 pairs with same colors

Published on 04 Nov 2021 - 7:28

score 37 · Answer 7 · 2026-03-27 01:47:35

37

Views

Fourier in $\mathbb{Z}^d$ and use of Pigeonhole principle (Prop. $1.1.13$, HOFA by T. Tao)

Published on 27 Mar 2026 - 1:47

score 61 · Answer 8 · 2021-11-05 13:35:23

61

Views

Need help with this problem(mp based on PigeonHole Principle)

Published on 05 Nov 2021 - 13:35

score 146 · Answer 9 · 2021-11-05 16:25:34

146

Views

For any unbounded set of real numbers, is there a subset which almost coincides with a uniformly spread out set of points an infinite amount of times?

Published on 05 Nov 2021 - 16:25

score 283 · Answer 10 · 2021-11-15 14:33:44

283

Views

Pigeon Hole Principle for a triangle

Published on 15 Nov 2021 - 14:33

score 103 · Answer 11 · 2021-11-17 03:30:35

103

Views

Use the pigeonhole principle on a triangle

Published on 17 Nov 2021 - 3:30

score 58 · Answer 12 · 2021-11-17 07:34:29

58

Views

Verifying a proof of a combinatorics problem

Published on 17 Nov 2021 - 7:34

score 56 · Answer 13 · 2021-11-18 11:50:16

56

Views

Show that in every set of 201 positive integers, each less than 301, there are two, the ratio of which is a power of 3

Published on 18 Nov 2021 - 11:50

score 476 · Answer 14 · 2021-11-18 16:51:15

476

Views

Pigeonhole principle: Coloring $11$ points of a $5\times 5$ square grid

Published on 18 Nov 2021 - 16:51

score 38 · Answer 15 · 2021-11-19 11:17:39

38

Views

Given $n^2 +1$ points on Euclidean plane, construct a monotone curve passing through at least n points

Published on 19 Nov 2021 - 11:17

List Question

Explain why two students will have shaken the same number of hands.

Consider the terms with base five with non-negative powers:$5^0, 5^1, 5^2, ……$,prove there are two of these terms which differ by a multiple of 2021.

If you sum all possible subsets of peoples' birthday dates in a group of 7 people, will two sets always have the same sum?

How do i find the number of gangs in this question?

Find the smallest natural number $n$ such that every $n$-element subset of $S=\{1,2,\dots,280\}$ contains $5$ pairwise relatively prime numbers

Minimum number of chopsticks to get 4 pairs with same colors

Fourier in $\mathbb{Z}^d$ and use of Pigeonhole principle (Prop. $1.1.13$, HOFA by T. Tao)

Need help with this problem(mp based on PigeonHole Principle)

For any unbounded set of real numbers, is there a subset which almost coincides with a uniformly spread out set of points an infinite amount of times?

Pigeon Hole Principle for a triangle

Use the pigeonhole principle on a triangle

Verifying a proof of a combinatorics problem

Show that in every set of 201 positive integers, each less than 301, there are two, the ratio of which is a power of 3

Pigeonhole principle: Coloring $11$ points of a $5\times 5$ square grid

Given $n^2 +1$ points on Euclidean plane, construct a monotone curve passing through at least n points

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