The Handshake Dilemma!

Logic Level 2

Last night I went with my wife to a party where four other married couples were present.

Every person shook hands with only the people he or she was NOT acquainted with. (Obviously, no one shook his or her own hand or spouse's hand, and no one shook hands with the same person twice.)

When the handshaking was over, I asked everyone including my wife how many hands they each shook.

To my surprise, I got 9 different answers!

How many hands did my wife shake?

This problem is not an original. It is adapted from a problem posed by Martin Gardener.

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