HCU MCA 2014 Paper

A five member research group is chosen from computer scientists (CS) A, B, C and D and mathematicians E, F, G and H. At least 3 CS must be in the research group. However
A refuses to work with D
B refuses to work with E
F refuses to work with G
D refuses to work with F
If B or C is chosen which of the following is necessarily true.
$\mathrm{I}.$A is definitely chosen $\mathrm{II}$. D is definitely chosen $\mathrm{III}.$ Either F or G is chosen.