Question description
At a party with 5 married couples, no person shakes hands with his or
her spouse. Of the 9 people other than the host, no 2 shake hands with
the same number of people. With how many people does the hostess shake
hands? Explain your answer. (4 points) Now suppose there are n married
couples at the party; no person shakes hands with his or her spouse, and
the 2n − 1 people other than the host shake hands with different
numbers of people. With how many people does the hostess shake hands?
Explain your answer.

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