Chapter 16, Problem 16E

Five candidates $\left(A,B,C,D,\text{ and }E\right)$ have a chance to be selected to be on American Idol.

Any subset of them (including none of them or all of them) can be selected. The observation is which subset of individuals is selected. Write out the event described by each of the following statements as a set.

a. $E_1$ : “two candidates get selected.”

b. $E_2$: “three candidates get selected.”

c. $E_3$: “three candidates get selected, and A is not one of them.”