2. Suppose we own two Statistics textbooks, four Data Science textbooks, and three Com- puter science textbooks. For the following questions assume that we have no duplicate

textbooks (i.e. all textbooks are unique). (a) (1 point) In how many ways can we select two textbooks from each subject to

donate to the bookstore? (b) (1 point) In how many ways can the books be organized on a bookshelf if the

computer science books must be side—by—side on the bookshelf but the other books

can be arranged in any order. 3. (1 point) Suppose a conference has 25 people enrolled. Assuming everyone shakes hands

with everyone else exactly once, how many handshakes will take place? 4. In a certain city, 36%, 40%, and 24% of registered voters classify themselves as Inde— pendents, Liberals, and Conservatives, respectively. In a recent election, 42% of the

Independents, 71% of the Liberals, and 74% 0f the Conservatives voted. (a) (1 point) What percentage of registered voters in this city voted in this this recent

election? (b) (1 point) Suppose a voter was chosen at random. Given that this person voted in

this recent election, what is the probability that he or she is a. Conservative.