Problem:
The Little Twelve Basketball Conference has two divisions, with six teams in each division. Each team plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled?
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Solution:
Each team plays games in its own division and games against teams in the other division. So each of the teams plays conference games. Because each game involves two teams, there are games scheduled.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions