Question 4
Six teams $A,B,C,D,E,F$ play a tournament over five days. Each team plays once each day, and each pair meets exactly once. $A$ beats $B$ on day 1; $D$ beats $C$ on day 2; $E$ beats $A$ on day 3; $B$ beats $C$ on day 4. Which team does $E$ play on day 5?