Maths Olympiad Prep

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, 2020

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

There are 4 teams in a football tournament. Each team plays every other team exactly once. In each match, the winner gets 3 points and the loser gets 0 points. In the case of a draw, both teams get 1 point. After all matches have been played, which of the following total number of points is it impossible for any team to have obtained?

(A) 44 (B) 55 (C) 66 (D) 77 (E) 88

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