List questions from pigeonhole-principle

Published on 25 Feb 2015 - 6:56

80

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Pigeon hole principle:Trominoes and chessboards

Published on 26 Feb 2015 - 14:27

1.4k

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Pigeonhole question about distinct sums

Published on 01 Mar 2015 - 17:00

100

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Square labeled with same number.

Published on 12 Mar 2015 - 22:15

2.1k

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Prove that $ax^2 + by^2 \equiv c \pmod{p}$ has integer solutions

Published on 15 Mar 2015 - 4:41

114

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Pigeon hole principle

Published on 15 Mar 2015 - 15:58

229

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Whether it is the pigeonhole principle?

Published on 17 Mar 2015 - 6:36

383

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Problem with $20$ integers less than $70$

Published on 17 Mar 2015 - 8:04

176

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Pigionhole Principle

Published on 18 Mar 2015 - 16:28

2.3k

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Pigeonhole principle: In every set of 100 integers, there exist two integers whose difference is a multiple of 37

Published on 23 Mar 2015 - 21:50

701

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Show that for any set of 201 positive integers less than 300, there must be two whose quotient is a power of three (with no remainder)

Published on 23 Mar 2015 - 23:43

161

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show that at least 3 balls have same weight

Published on 28 Mar 2015 - 18:29

1k

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Smallest number of points on plane that guarantees existence of a small angle

Published on 07 Apr 2015 - 6:49

5.2k

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How many people would you need in a room to ensure with 100% probaility that three have the same birthday?

Published on 12 Apr 2015 - 16:03

96

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combinatorics - pigeonhole principle - 2

Published on 13 Apr 2015 - 9:41

List Question

Hard pigeonhole principle problem.

Pigeon hole principle:Trominoes and chessboards

Pigeonhole question about distinct sums

Square labeled with same number.

Prove that $ax^2 + by^2 \equiv c \pmod{p}$ has integer solutions

Pigeon hole principle

Whether it is the pigeonhole principle?

Problem with $20$ integers less than $70$

Pigionhole Principle

Pigeonhole principle: In every set of 100 integers, there exist two integers whose difference is a multiple of 37

Show that for any set of 201 positive integers less than 300, there must be two whose quotient is a power of three (with no remainder)

show that at least 3 balls have same weight

Smallest number of points on plane that guarantees existence of a small angle

How many people would you need in a room to ensure with 100% probaility that three have the same birthday?

combinatorics - pigeonhole principle - 2

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