Question

Pigeonhole principle - group of 4 friends

score 985 · Answer 1 · 2017-02-15 01:50:28

985

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Pigeonhole principle - group of 4 friends

Published on 15 Feb 2017 - 1:50

score 6.6k · Answer 2 · 2017-02-18 03:44:15

6.6k

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Every sequence of $n^2+1$ distinct real numbers contains a subsequence of length $n + 1$ that is either strictly increasing or strictly decreasing.

Published on 18 Feb 2017 - 3:44

score 104 · Answer 3 · 2017-02-24 02:11:38

104

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Prove that if there are 100 people who each know 67 others among this 100, there are 4 people who all know each other.

Published on 24 Feb 2017 - 2:11

score 124 · Answer 4 · 2017-02-27 10:30:11

124

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Counting problem, probably related with pigeonhole principle

Published on 27 Feb 2017 - 10:30

score 65 · Answer 5 · 2017-02-28 02:05:03

65

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Help regarding Pigeonhole Principle

Published on 28 Feb 2017 - 2:05

score 209 · Answer 6 · 2017-02-28 07:58:35

209

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Why does the pigegonhole principle tell us that PI-indexing is not possible?

Published on 28 Feb 2017 - 7:58

score 828 · Answer 7 · 2017-03-06 00:05:40

828

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Pigeonhole height problem?

Published on 06 Mar 2017 - 0:05

score 168 · Answer 8 · 2017-03-06 10:24:57

168

Views

Proving the predicate $\forall n \in \mathbb{N} , n \geq 2$ using the Pigeonhole principle

Published on 06 Mar 2017 - 10:24

score 91 · Answer 9 · 2017-03-08 05:50:46

91

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Proving the predicate $\forall n \in \mathbb{N} , n \geq 2$ using the Pigeonhole principle

Published on 08 Mar 2017 - 5:50

score 3.2k · Answer 10 · 2017-03-08 08:49:05

3.2k

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Using the pigeonhole principle prove that the decimal expansion of $1/k$ for any $k\in\Bbb N_{>0}$ becomes cyclic at some point

Published on 08 Mar 2017 - 8:49

score 258 · Answer 11 · 2017-03-08 14:24:21

258

Views

Pigeonhole Principle of 18 pennies in a square of 6x6

Published on 08 Mar 2017 - 14:24

score 952 · Answer 12 · 2017-03-08 15:19:15

952

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12 PCs and 5 printers Pigeonhole Principle

Published on 08 Mar 2017 - 15:19

score 76 · Answer 13 · 2017-03-08 19:37:03

76

Views

Board game question

Published on 08 Mar 2017 - 19:37

score 961 · Answer 14 · 2017-03-11 20:14:01

961

Views

Ants moving on a chessboard eventually occupying the same square

Published on 11 Mar 2017 - 20:14

score 181 · Answer 15 · 2017-03-18 12:38:55

181

Views

Prove that there exists a $k$ such that $2^k-1$ is divisible by 11

Published on 18 Mar 2017 - 12:38

List Question

Pigeonhole principle - group of 4 friends

Every sequence of $n^2+1$ distinct real numbers contains a subsequence of length $n + 1$ that is either strictly increasing or strictly decreasing.

Prove that if there are 100 people who each know 67 others among this 100, there are 4 people who all know each other.

Counting problem, probably related with pigeonhole principle

Help regarding Pigeonhole Principle

Why does the pigegonhole principle tell us that PI-indexing is not possible?

Pigeonhole height problem?

Proving the predicate $\forall n \in \mathbb{N} , n \geq 2$ using the Pigeonhole principle

Proving the predicate $\forall n \in \mathbb{N} , n \geq 2$ using the Pigeonhole principle

Using the pigeonhole principle prove that the decimal expansion of $1/k$ for any $k\in\Bbb N_{>0}$ becomes cyclic at some point

Pigeonhole Principle of 18 pennies in a square of 6x6

12 PCs and 5 printers Pigeonhole Principle

Board game question

Ants moving on a chessboard eventually occupying the same square

Prove that there exists a $k$ such that $2^k-1$ is divisible by 11

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