Question

Show that at least 4 of any 22 dates in the calendar must fall on the same day of the week

score 249 · Answer 1 · 2021-08-26 15:48:07

249

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Show that at least 4 of any 22 dates in the calendar must fall on the same day of the week

Published on 26 Aug 2021 - 15:48

score 273 · Answer 2 · 2021-08-27 05:31:30

273

Views

Pigeonhole: 200 Balls into 101 Bins

Published on 27 Aug 2021 - 5:31

score 84 · Answer 3 · 2021-09-03 19:10:59

84

Views

Pigeonhole Principle problem regarding a set of numbers and two subsets

Published on 03 Sep 2021 - 19:10

score 358 · Answer 4 · 2021-09-09 23:28:06

358

Views

Seven people sit at a round table with 10 chairs. Show that there are three consecutive chairs that are occupied.

Published on 09 Sep 2021 - 23:28

score 97 · Answer 5 · 2026-02-24 05:37:27

97

Views

Every $2$-colouring of the lattice points of $\mathbb R^m$ has $n$ monochromatic points whose centroid is a lattice point of the same colour

Published on 24 Feb 2026 - 5:37

score 73 · Answer 6 · 2021-10-01 20:12:57

73

Views

For $n$ an odd positive integer. Select $x,y$ distinct from $\{1, 2, \dots, n\}$ with $x+y = n+1$.

Published on 01 Oct 2021 - 20:12

score 65 · Answer 7 · 2021-10-04 01:03:43

65

Views

pigeonhole what are the parts of the proof using the pigeonhole principle?

Published on 04 Oct 2021 - 1:03

score 74 · Answer 8 · 2021-10-04 01:07:19

74

Views

how many points inside rectangle so distance is $0<d\leq \sqrt{2}$.

Published on 04 Oct 2021 - 1:07

score 66 · Answer 9 · 2021-10-05 14:03:11

66

Views

Help with understanding Pigeonhole Principle concepts

Published on 05 Oct 2021 - 14:03

score 271 · Answer 10 · 2026-03-29 03:36:44

271

Views

Given any $10$ people in a room, prove that among them there are either $3$ that know each other or $4$ that do not know each other.

Published on 29 Mar 2026 - 3:36

score 120 · Answer 11 · 2021-10-11 05:23:04

120

Views

Dirichlet's approximation theorem for two numbers

Published on 11 Oct 2021 - 5:23

score 160 · Answer 12 · 2021-10-12 04:10:28

160

Views

Let $n$ be odd and supposed $(x_1,x_2,...,x_n)$ is any permutation of $\{1,\ldots,n\}$. Prove that the product $(x_1-1)(x_2-2)\ldots(x_n-n)$ is even.

Published on 12 Oct 2021 - 4:10

score 104 · Answer 13 · 2026-03-27 00:06:02

104

Views

How does pigeonhole principle imply that $|\theta_k-\theta_j|\leq 2\pi/N<\delta$ where $\theta_k=(k\theta)\mod 2\pi$

Published on 27 Mar 2026 - 0:06

score 248 · Answer 14 · 2021-10-18 10:52:38

248

Views

Pigeonhole's Principle - set of nine distinct points

Published on 18 Oct 2021 - 10:52

score 129 · Answer 15 · 2021-10-18 20:23:54

129

Views

Is this solution to a seating / PigeonHole question correct?

Published on 18 Oct 2021 - 20:23

List Question

Show that at least 4 of any 22 dates in the calendar must fall on the same day of the week

Pigeonhole: 200 Balls into 101 Bins

Pigeonhole Principle problem regarding a set of numbers and two subsets

Seven people sit at a round table with 10 chairs. Show that there are three consecutive chairs that are occupied.

Every $2$-colouring of the lattice points of $\mathbb R^m$ has $n$ monochromatic points whose centroid is a lattice point of the same colour

For $n$ an odd positive integer. Select $x,y$ distinct from $\{1, 2, \dots, n\}$ with $x+y = n+1$.

pigeonhole what are the parts of the proof using the pigeonhole principle?

how many points inside rectangle so distance is $0<d\leq \sqrt{2}$.

Help with understanding Pigeonhole Principle concepts

Given any $10$ people in a room, prove that among them there are either $3$ that know each other or $4$ that do not know each other.

Dirichlet's approximation theorem for two numbers

Let $n$ be odd and supposed $(x_1,x_2,...,x_n)$ is any permutation of $\{1,\ldots,n\}$. Prove that the product $(x_1-1)(x_2-2)\ldots(x_n-n)$ is even.

How does pigeonhole principle imply that $|\theta_k-\theta_j|\leq 2\pi/N<\delta$ where $\theta_k=(k\theta)\mod 2\pi$

Pigeonhole's Principle - set of nine distinct points

Is this solution to a seating / PigeonHole question correct?

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