Seven people, A, B, C, D, E, F and G, want to go boating. Only two boats are available, and their seating must follow these rules:
(I) A will go in the same boat as E.
(II) F cannot go in the same boat as C, unless D also joins them.
(III) Neither B nor C can be placed in the same boat as G.
(IV) A single boat can carry a maximum of four people.
If F and B are seated in one boat, which of the following statements is true?