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 (6choices), History (8choices), Math/Stats (4choices), Computer Science (8choices), and general Science (7 choices). Does Tom have a legitimate gripe?

(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)When trying to schedule, Tom finds that all but two of the English courses are closed, as are three History courses and two general Science courses. How many schedules does he have to choose from now?