¶ 2014 AMC8 Problem 16
Problem:
The "Middle School Eight" basketball conference has teams. Every season, each team plays every other conference team twice (home and away), and each team also plays games against non-conference opponents. What is the total number of games in a season involving "Middle School Eight" teams?
Answer Choices:
A.
B.
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E.
Solution:
Each team plays non-conference games for a total of games against non-conference opponents. Each team plays conference games at home for a total of games within the conference. The total number of games is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions