Teaser Tuesday! December 9, 2014

Here's a twist on a riddle that I'm sure you're all familiar with. I hope you find it fun!

Note: If you could all please input your answers using the previously noted html code it will allow others to answer without having a spoiler. Copy it verbatim and do not stick any " or ' in your answer and it will work.

Question

The dean of a college and his wife decided to throw a party and invited N guest and their spouses. On the night of the party, all of the guests turned up with their spouses, and they all had a great time. When the party was concluding, the dean requested that all of his guests (including his wife, but not himself) write down the number of people they shook hands with and to put the numbers in a box. When the box was opened, he was surprised to find all integers from 0 to 2N inclusive.

Assuming that a person never shake hands with their own spouse and that no one lied, how many hands did the dean shake?

Good Luck!

3 Comments
 

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