The two conditions here mean that for every time F or G appear, P must also appear. This also guarantees that P is the member who is on all three so we have
1 P F 2 P G 3 P
We also know that HI cannot both be in the third subcommittee.
A cannot happen, since this would force H and I into the third slot together. B cannot happen because there simply aren't enough slots for this to happen C could happen, see below D can't happen as this would violate the FG rule E cannot happen because it would violate the HI rule