1. Apply the proposition involving the probability of A U B to the union of the two events (A U B) and C in order to verify the result for P(A U B U C ).
2. The College of Science Council has one student representative from each of the ve science depart- ments (biology, chemistry, geology, mathematics, physics). In how many ways can
a. Both a council president and a vice president be selected?
b. A president, a vice president, and a secretary be selected?
c. Two members be selected for the Dean s Council?