Maths Olympiad Prep

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, 2007

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

In a soccer league with 66 teams (PP, QQ, RR, SS, TT, WW), each team must eventually play each other team exactly once. So far, PP has played one match, QQ has played 22 matches, RR has played 33 matches, SS has played 44 matches, and TT has played 55 matches. How many matches has WW played so far?

(A) 11 (B) 22 (C) 33 (D) 44 (E) 55

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