Question 7
Each of teams $A,B,C,D$ and $E$ plays against every other team exactly once. A win is worth 3 points, a draw 1 point and a loss 0 points. At the end of the tournament, no two teams have the same number of points. $A$ has the highest number of points despite losing to $B$. Neither $B$ nor $C$ loses any game, but $C$ has fewer points than $D$. How many points does $E$ have?