Paul invites 10 couples to a party at his house. He asks everyone present, including his wife, how many people they shook hands with. It turns out that everyone questioned--he didn't question himself, of course--shook hands with a different number of people. If we assume that no one shook hands with his or her partner, how many people did Paul's wife shake hands with? (Remember, Paul did not ask himself any questions)
Source: AcoPS (Zeitz)
2007-10-31
14:42:44
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3 answers
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asked by
absird
5
in
Mathematics