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Usenet Newsgroups : rec.puzzles Hall of Fame


The rec.puzzles Hall of Fame is a compilation of over 500 of the most popular puzzles that have been posted and discussed in the rec.puzzles newsgroup. In most cases a detailed solution has been provided.

Many of these puzzles also appear in Braingle's own collection.

   
rec.puzzles
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alt.brain.teasers
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Categories : induction : handshake.p

At a party people shake hands with all the people they do not know.  A
married couple organizes the party; they only invite other married
couples.  It is assumed everybody knows him/herself and his/her
partner.

When all couples have arrived and all the handshaking has been done,
the host mingles among the guests and asks everybody (including his
wife): "How many hands did you shake?". To his surprise, all responses
are different.

With the above information, you should be able to determine how many
hands the host and hostess each shook.



Solution


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