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The Exclusive Club (Posted on 2013-07-01) Difficulty: 3 of 5
There is a club called the Exclusive Club. Somebody is a member of this club if and only if he has not shaved anybody who has shaved him. In other words, X is a member of the Exclusive Club if and only if there is no Y such that X shaves Y and Y shaves X.

A barber once claimed that he had shaved every member of the Exclusive Club and nobody else. Show that the barber's claim cannot be true.

No Solution Yet Submitted by Math Man    
Rating: 5.0000 (1 votes)

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Some Thoughts re(2): solution | Comment 3 of 8 |
(In reply to re: solution by Ady TZIDON)

I rise to Daniels' defense.  The problem is quite clear that somebody is a member of this club if he has not shaved anybody who has shaved him.  If you meet the requirements, then you are a member. 


It's sort of like being a member of the human race.  If you are human, then you're a member.

  Posted by Steve Herman on 2013-07-01 19:54:06
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