Please critique my approach to this Sufficient Assumption question--
Premise: Any moon orbits some planet in a solar system
Conclusion: The moons in solar system S4 all orbit around Alpha
(A) Premise alludes to more than one moon.
(B) No mention of Alpha.
(C) If Alpha is the only planet in S4, then all the moons are forced to orbit around Alpha in order for the conclusion to be true. C is credited.
(D) Doesn't support conclusion ; could be true, but who cares?
(E) This is necessary, but not sufficient - correct? And the premises allude to more than one. This incorrectly lowers the degree level of the conclusion.