While making up his schedule for spring semester, Tom complains that he doesn't have very many choices of schedule because of the general education requirements he has to meet. His advisor tells Tom that he has to take one course from each of English (3choices), History (8choices), Math/Stats (3choices), Computer Science (5choices), and general Science (4choices).

(a)If every possible course is available at the time he's registering, how many possible schedules can he choose from (disregarding when the classes meet)?

(b)If Tom hasn't met the prerequisites for two of the Math/Stats courses and one of the general Science courses, by how much does this reduce his number of possible schedules?