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Mutually friendly 3 (Posted on 2012-08-05) Difficulty: 4 of 5
Prove that if any two people are either friends or strangers, then any group of 18 people contains either 4 mutual friends or 4 mutual strangers.

See The Solution Submitted by Math Man    
Rating: 5.0000 (1 votes)

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  Subject Author Date
re: I think I have it now!Chris, PhD2012-08-09 22:54:13
SolutionI think I have it now!Caleb2012-08-07 13:08:15
Some Thoughts5 mutual friends or 5 mutual strangersSteve Herman2012-08-07 12:59:13
re(4): No SubjectCaleb2012-08-07 12:33:13
re(3): No SubjectChris, PhD2012-08-07 11:36:30
re(2): No SubjectCaleb2012-08-07 10:58:20
re: No SubjectMath Man2012-08-07 09:25:32
Hints/TipsHintMath Man2012-08-07 09:14:37
Some ThoughtsConfirmed: 18 is the minimumSteve Herman2012-08-07 09:03:44
SolutionNo SubjectChris, PhD2012-08-07 06:46:43
Some Thoughts"Solution"....but only for a total of 20 peopleCaleb2012-08-07 04:07:58
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