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While making up his schedule for spring semester, Tom complains that he doesn't have very...

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Basic Math

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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 (4 choices), History (3 choices), Math/Stats (4 choices), Computer Science (4 choices), and general Science (4 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)? Tom can choose from possible schedules. (b) When trying to schedule, Tom finds that all but two of the English courses are closed, as are one History course and one general Science course. How many schedules does he have to choose from now? Tom now has different schedules to choose from.

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