Question 7
Four teams $A$, $B$, $C$, $D$ play a football tournament in which every team faces each of the other teams exactly twice (for a total of 12 matches). In each match, if the teams draw against each other, both of them earn 1 point; otherwise, the winner earns 3 points and the loser earns no points.
Given that at the end of the tournament teams $A$, $B$, $C$ scored 8 points each, find all possible scores of team $D$.
Given that at the end of the tournament teams $A$, $B$, $C$ scored 8 points each, find all possible scores of team $D$.