Math Multiple Choice

Two seniors, Abby and Ben, and two juniors, Cathy and Dave, are to be assigned to the 3 lockers shown above according to the following rules.
- All 3 lockers are to be assigned.
- Abby and Ben cannot share a locker with each other.
- A senior cannot share a locker with a junior.
The locker assignments of all four students can be determined from the assignments of which of the following pairs?
| I. | Abby and Ben |
| II. | Ben and Cathy |
| III. | Cathy and Dave |
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
(from the October 16, 1999 test)