Question 4
Six teams $A,B,C,D,E,F$ play a five-day tournament. Each team plays once per day and plays each other team exactly once. On day 1, $A$ beats $B$; on day 2, $D$ beats $C$; on day 3, $E$ beats $A$; on day 4, $B$ beats $C$. Which team plays $E$ on day 5?