1. Solve the following two " union " type questions:
(a) How many bit strings of length 9 either begin with 2 0s or end with 2 1s? (inclusive or)
(b) Every student in a discrete math class is either a computer science or a mathematics major or is a joint major in these two subjects. How many students are in the class if there are 30 computer science majors (including joint majors), 20 math majors (including joint majors) and 10 joint majors?
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