There are 4 teams in a soccer tournament. Each team plays each of the other teams exactly once. In each match, the winner receiv
es 3 points and the loser receives 0 points. In the case of a tie, both teams receive 1 point. After all the matches have been played, which of the following total number of points is it impossible for any team to have received?
Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:
