My wife and I went to an event with four other married couples. I noticed some gregarious folks shaking hands with lots of other attendees, while others were more reserved. At one point, I asked all to stop, and asked each person, including my wife, how many people they had shaken hands with (excluding their own or their spouse's hand, if for some reason, they had shaken them). Each person told me a different number of people they had shaken hands with.
How many people had my wife shaken hands with?