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MAA AMC
AMC 8
2015 AMC 8
24
24
Part of
2015 AMC 8
Problems
(1)
Baseball League
Source: 2015 AMC 8 Problem 24
11/25/2015
A baseball league consists of two four-team divisions. Each team plays every other team in its division
N
N
N
games. Each team plays every team in the other division
M
M
M
games with
N
>
2
M
N>2M
N
>
2
M
and
M
>
4
M>4
M
>
4
. Each team plays a 76 game schedule. How many games does a team play within its own division?
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36
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48
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C
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54
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D
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60
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72
<span class='latex-bold'>(A) </span> 36 \qquad <span class='latex-bold'>(B) </span> 48 \qquad <span class='latex-bold'>(C) </span> 54 \qquad <span class='latex-bold'>(D) </span> 60 \qquad <span class='latex-bold'>(E) </span> 72
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36
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48
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54
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60
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72
AMC 8