A baseball league has six teams: A, B, C, D, E, and F. All games are played at 7:30 P.M. on Fridays, and there are sufficient fields for each team to play a game every Friday night. Each team must play each other team exactly once, and the following conditions must be met.

1.TeamDplays teamBfirst and teamAsecond.

2.TeamFplays teamEfirst and teamCthird.

3.TeamCplays teamAfirst.

On the first Friday, which of the following pairs of teams play each other?

a. D and C; F and E; B and A

b. D and F; C and E; B and A

c. D and B; F and E; C and A

d. D and F; C and A; B and E

e. D and B; F and C; E and A