Making Fifteen

[From Thinking Mathematically, p. 79. Modified by Sam Rebelsky.]

Nine counters marked with the digits 1 to 9 are placed on the table. Two players alternately take one counter from the table. The winner is the first player to obtain a set of counters that include three counters which sum to fifteen. Devise a winning strategy.

Is there a winning strategy if there are three players?

Are there interesting variants of the game with more counters (and perhaps a different goal number)?

[Front Door] [Problems] [Resolutions] [Essays] [Resources] [Miscellaneous]

Warning! This site is under development.

Source text last modified Tue May 5 08:49:55 1998.

This page generated on Thu May 7 14:25:12 1998 by SiteWeaver.

Contact our webmaster at