Let a, b, and c be subsets of a universal set u and suppose n(u) = 200, n(a) = 29, n(b) = 31, n(c) = 35, n(a ∩ b) = 5, n(a ∩ c) = 10, n(b ∩ c) = 13, and n(a ∩ b ∩ c) = 4. compute each of the following.
(a) n[a ∪ (b ∩ c)]
(b) n((a^c ∩ b^c ∩ c^c)^c)