Question: The dean of a business school wishes to form an executive committee of 5 from among the 40 tenured faculty members at the school. The selection is to be random, and at the school there are 8 tenured faculty members in accounting. What is the probability that the committee will contain
a. none of them?
b. at least 1 of them?
c. not more than 1 of them?
d. What is your answer to (a) if the committee consists of 7 members?