List questions from pigeonhole-principle

Published on 28 Sep 2020 - 17:15

402

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Complicated Pigeonhole Principle Homework Problem

Published on 28 Sep 2020 - 19:48

114

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Choosing appropriate pigeon holes to apply Pigeon Hole principle.

Published on 29 Sep 2020 - 12:24

578

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How to use Pigeon Hole Principle here?

Published on 29 Sep 2020 - 16:04

2.4k

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Given n integers, show that there is a subset whose sum is divisible by n.

Published on 29 Sep 2020 - 16:05

292

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Can't understand the solution of this INMO problem

Published on 30 Sep 2020 - 4:47

136

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Using Pigeon Hole principle

Published on 30 Sep 2020 - 11:47

217

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Pingeonhole Theory, $200$ sweets, $20$ kids. Prove that at least $2$ kids receive the same number of sweets.

Published on 30 Sep 2020 - 18:34

56

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Show that if there are 15 points scattered inside a 1 unit square, then at least 3 of them can be covered by a square of side $1/5$

Published on 01 Oct 2020 - 16:31

700

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Pigeonhole Principle Problem - Circle

Published on 01 Oct 2020 - 20:22

35

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Connection Circles with Piegonhole Principle

Published on 02 Oct 2020 - 16:25

169

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Pigeon Hole Principle question

Published on 06 Oct 2020 - 0:41

825

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Show that given five points in $\mathbb{Z^2}$ there are at least one pair of them whose middle point also lies in $\mathbb{Z^2}$

Published on 06 Oct 2020 - 11:44

578

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Prove that for each positive integer $k$, there exist two powers of $7$ whose difference is divisible by $k$.

Published on 14 Oct 2020 - 13:01

658

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How many balls to draw to ensure balls of same color?

Published on 14 Oct 2020 - 17:31

List Question

Pigeonhole Principle Rainbow Problem

Complicated Pigeonhole Principle Homework Problem

Choosing appropriate pigeon holes to apply Pigeon Hole principle.

How to use Pigeon Hole Principle here?

Given n integers, show that there is a subset whose sum is divisible by n.

Can't understand the solution of this INMO problem

Using Pigeon Hole principle

Pingeonhole Theory, $200$ sweets, $20$ kids. Prove that at least $2$ kids receive the same number of sweets.

Show that if there are 15 points scattered inside a 1 unit square, then at least 3 of them can be covered by a square of side $1/5$

Pigeonhole Principle Problem - Circle

Connection Circles with Piegonhole Principle

Pigeon Hole Principle question

Show that given five points in $\mathbb{Z^2}$ there are at least one pair of them whose middle point also lies in $\mathbb{Z^2}$

Prove that for each positive integer $k$, there exist two powers of $7$ whose difference is divisible by $k$.

How many balls to draw to ensure balls of same color?

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