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Looking for an explanation: Pigeonhole Principle-Among a sequence prove there is a number divisible by another number

score 927 · Answer 1 · 2026-03-27 03:43:15

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Looking for an explanation: Pigeonhole Principle-Among a sequence prove there is a number divisible by another number

Published on 27 Mar 2026 - 3:43

score 608 · Answer 2 · 2011-10-03 07:43:46

608

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$16$ natural numbers from $0$ to $9$, and square numbers: how to use the pigeonhole principle?

Published on 03 Oct 2011 - 7:43

score 1.2k · Answer 3 · 2011-10-24 12:00:08

1.2k

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The Pigeon Hole Principle and the Finite Subgroup Test

Published on 24 Oct 2011 - 12:00

score 839 · Answer 4 · 2011-10-25 20:23:05

In a cube of side of length $9$ there are $1981$ points. Prove that there exist two of them situated at distance at most $1$ from each other.

score 9.3k · Answer 5 · 2011-11-20 13:23:59

9.3k

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A natural number multiplied by some integer results in a number with only ones and zeros

Published on 20 Nov 2011 - 13:23

score 1k · Answer 6 · 2011-11-28 03:38:44

1k

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Bit strings (pigeonhole principle)

Published on 28 Nov 2011 - 3:38

score 5.6k · Answer 7 · 2011-12-15 01:59:51

5.6k

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Pigeonhole Principle: 5 integers from 1 to 8, some pair has sum 9.

Published on 15 Dec 2011 - 1:59

score 4.3k · Answer 8 · 2011-12-20 11:28:37

4.3k

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Some three consecutive numbers sum to at least $32$

Published on 20 Dec 2011 - 11:28

score 597 · Answer 9 · 2011-12-26 17:12:57

597

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Pigeonhole principle to prove division

Published on 26 Dec 2011 - 17:12

score 1.1k · Answer 10 · 2011-12-28 16:15:45

1.1k

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Pigeonhole principle: 112 hrs over 12 days, then at least 19 hrs over some consecutive 2 days

Published on 28 Dec 2011 - 16:15

score 331 · Answer 11 · 2011-12-29 17:15:28

331

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Regarding Pigeonhole principle

Published on 29 Dec 2011 - 17:15

score 102 · Answer 12 · 2011-12-29 18:10:34

102

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Possibility of constructing a desirable subset

Published on 29 Dec 2011 - 18:10

score 4.3k · Answer 13 · 2012-01-03 15:39:45

4.3k

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Subsets with equal sums

Published on 03 Jan 2012 - 15:39

score 102 · Answer 14 · 2012-01-08 10:53:57

102

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Min Number of Values from {1,2,...,9} Such that diff of 2 picked values is 5

Published on 08 Jan 2012 - 10:53

score 405 · Answer 15 · 2012-01-08 11:15:17

405

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How to recognize a pigeonhole problem?

Published on 08 Jan 2012 - 11:15

List Question

Looking for an explanation: Pigeonhole Principle-Among a sequence prove there is a number divisible by another number

$16$ natural numbers from $0$ to $9$, and square numbers: how to use the pigeonhole principle?

The Pigeon Hole Principle and the Finite Subgroup Test

In a cube of side of length $9$ there are $1981$ points. Prove that there exist two of them situated at distance at most $1$ from each other.

A natural number multiplied by some integer results in a number with only ones and zeros

Bit strings (pigeonhole principle)

Pigeonhole Principle: 5 integers from 1 to 8, some pair has sum 9.

Some three consecutive numbers sum to at least $32$

Pigeonhole principle to prove division

Pigeonhole principle: 112 hrs over 12 days, then at least 19 hrs over some consecutive 2 days

Regarding Pigeonhole principle

Possibility of constructing a desirable subset

Subsets with equal sums

Min Number of Values from {1,2,...,9} Such that diff of 2 picked values is 5

How to recognize a pigeonhole problem?

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