Problem of the Week: Fall 2023, Number 3

Editor’s Note: The Department of Mathematics at Gettysburg College hosts a problem of the week challenge to determine each semester’s Paul Mugabi problem-solving award recipient(s).  Each week’s entries are scored by a faculty judge, and winner(s) from each week will receive a Problem Of the Week (P.O.W.) button.  The Gettysburgian is not involved in or responsible for accepting or evaluating students’ submissions to this contest.

Solutions Due: Friday, September 15, 5:00 p.m.

Send solutions to

The contest is open to all Gettysburg College students. Up to three people may work together on a submission. Make sure your name is on your submission and that any sources are properly cited. Weekly winners will receive a POW victory button, and the best-performing students of the semester will receive the Paul Mugabi problem-solving award.

A Sweet Counting Problem

My favorite movie theater sells 10 different types of candy boxes. I am going to buy 5 candy boxes when I go to the movies this weekend. The theater has a rule that it will not let one person buy more than two boxes of any single type in one visit. How many different choices of 5 candy boxes is it possible for me to make? Answer, and explain.

Author: Gettysburgian Staff

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