Problem of the Week
for the week of March 27, 2006

The Dart Problem

You can throw as many darts at the board below.   Some total scores are impossible to obtain -- for example, all numbers less than 5, as well as 6, 8, and 9.

What is the highest whole number score that is impossible to obtain?

Extra Credit: Can you come up with an algorithm or rule to determine the largest impossible score for any two whole numbers on the dartboard?



Send your solution by Friday 4:00 PM to:
David Pleacher


Links:

Handley Problem of the Week Page

Handley Math Home Page