Problem:
In the BIG N, a middle school football conference, each team plays every other team exactly once. If a total of conference games were played during the season, how many teams were members of the BIG N conference?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
If there were teams in the conference, then there would be only game played. Each additional team plays a game against each previously listed team.
If conference games were played, then there were teams in the conference.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions