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AMC 8
2019 AMC 8
19
19
Part of
2019 AMC 8
Problems
(1)
The Team Tournament
Source: 2019 AMC 8 #19
11/19/2019
In a tournament there are six teams that play each other twice. A team earns 3 points for a win, 1 point for a draw, and 0 points for a loss. After all the games have been played it turns out that the top three teams earned the same number of total points. What is the greatest possible number of total points for each of the top three teams?
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<span class='latex-bold'>(A) </span>22\qquad<span class='latex-bold'>(B) </span>23\qquad<span class='latex-bold'>(C) </span>24\qquad<span class='latex-bold'>(D) </span>26\qquad<span class='latex-bold'>(E) </span>30
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