- #1

Ackbach

Gold Member

MHB

- 4,155

- 89

-----

Eight total people (four couples), including the host and hostess, arrive at a party, and a number of handshakes occur. No one shakes hands with their own spouse or with themselves, and everyone shakes at least one hand. The host asks the others how many hands they shook, and everyone (except possibly the hostess) gives a different answer. The hostess is the last to answer; what is the smallest possible number of hands she shook?

-----

Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!