The ordering of the questions here is kind of confusing, so I'll just extract what seems to be relevant. They seem like True/False questions, but that's not clear to me.
There are no common elements between the sets A and C, so
A ∩ C = { } (the empty set)
Both sets A and B share the elements c and f, so
A ∩ B = {c, f }
and since we know A ∩ C is empty, we end up with
(A ∩ B) ∪ (A ∩ C) = {c, f } ∪ { } = {c, f }
