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Topic: Pigeonhole principle..please help!
Replies: 3   Last Post: Oct 11, 2010 4:50 AM

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merlin222

Posts: 1
Registered: 10/9/10
Pigeonhole principle..please help!
Posted: Oct 9, 2010 9:59 AM
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Consider 2n+1 real numbers greater than 1 and less than 2n. Prove that we can always
nd 3 numbers among them that are the sides of a triangle.

Inside a unit cube,30 points are given prove that among them there are 2 points at a distance no greater than 1/(squareroot)2



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