Problem 4 Find n(S intersect T) given that n(S) = 4, n(T) = 12, and n(S union T) = 15. Problem 10 Suppose that all of the 1000 first year students at a certain college are enrolled in a math or an English course. Suppose that 400 are taking both math and English and 600 are taking English. How many are taking a math course?