Several hundred people are attending a conference.  Suppose that each of
them keeps careful count of the number of other attendees with whom she or
he shakes hands, and writes this number on a sheet of paper at the end of
the conference. Show that the numbers on at least two of these sheets of
paper must be the same.


All midshipmen submitting correct solutions to problem #96 by 3:30 pm on
Tuesday, September 21, win a cookie. The best solution will be posted on
the problem bulletin board.

A solution is "correct" if it answers the question correctly and explains
the answer; a solution is "best" if it includes the clearest correct
explanation.  Submit solutions to Prof. Hanna at mathprob@nadn.navy.mil,
or via the mailbox in Chauvenet 301.

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Midn. Privette, Rivera, and Milev collect cookies for problem #95. Mr.
Milev's solution is posted on the bulletin board in the Chauvenet lab deck
corridor.