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   101 numbers from 1-200
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   Author  Topic: 101 numbers from 1-200  (Read 582 times)
BNC
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101 numbers from 1-200  
« on: Feb 23rd, 2003, 11:34am »
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Prove that choosing any 101 different numbers from the range 1-200,
 
1. At least two are co-prime (no common dividers -- I think that's the right term)
2. At one of them is a divider of another
 
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How about supercalifragilisticexpialidociouspuzzler [Towr, 2007]
NickH
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Re: 101 numbers from 1-200  
« Reply #1 on: Mar 2nd, 2003, 10:19am »
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Nice problems!  I offer the following clue: Pigeonhole Principle!
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Nick's Mathematical Puzzles
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