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Math Multiple Choice

locker graphic

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