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An old chestnut goes like this:

N married couples (and no other people) are at a party, including the host and hostess (a married couple). Various pairs of people shake hands, though nobody shakes his/her spouse's hand.

At the end of the party, the host asks each other person, including his wife, how many other people he/she shook hands with. He gets a different answer from each person.

How many people's hands did the host shake?
How many people's hands did the hostess shake?


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