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2013 AMC 10A Problems/Problem 24

Revision as of 23:13, 6 February 2013 by Gengkev (talk | contribs) (Created page with "Central High School is competing against Northern High School in a backgammon match. Each school has three players, and the contest rules require that each player play two games ...")
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Central High School is competing against Northern High School in a backgammon match. Each school has three players, and the contest rules require that each player play two games against each of the other school's players. The match takes place in six rounds, with three games played simultaneously in each round. In how many different ways can the match be scheduled?

$\textbf{(A)}\ 540\qquad\textbf{(B)}\ 600\qquad\textbf{(C)}\ 720\qquad\textbf{(D)}\ 810\qquad\textbf{(E)}\ 900$

Solution

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