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Baseball League Game Schedule

1550AdeptCombinatoricsCounting Principles

AMC 8 · 2015 · Problem 24

A baseball league consists of two four-team divisions. Each team plays every other team in its division $N$ games. Each team plays every team in the other division $M$ games with $N>2M$ and $M>4$. Each team plays a $76$-game schedule. How many games does a team play within its own division?

Answer choices

A
36
B
48
C
54
D
60
E
72
0 students attempted0% solvedRating 1550

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