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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Eight teams participated in a football tournament, and each team played exactly once against each other team. If a match was drawn then both teams received $1$ point; if not then the winner of the match was awarded $3$ points and the loser received no points. At the end of the tournament the total number of points gained by all the teams was $61$ . What is the maximum number of points that the tournament's winning team could have obtained?

(A) $16$ (B) $17$ (C) $18$ (D) $19$ (E) $21$

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