Chapter 9.7, Problem 13E

To determine

To find the sample space of the given experiment.

Answer to Problem 13E

  $\left\{\text{AB}\text{,}\text{AC}\text{,}\text{AD}\text{,}\text{AE}\text{,}\text{BC}\text{,}\text{BD}\text{,}\text{BE}\text{,}\text{CD}\text{,}\text{CE}\text{,}\text{DE}\right\}$

Explanation of Solution

Given:

Selecting two county supervisors from five supervisors A, B, C, D and E to study a recycling plan.

Calculation:

We can select 2 members from 5 members in 10 ways.

Therefore the sample space is,

  $\left\{\text{AB}\text{,}\text{AC}\text{,}\text{AD}\text{,}\text{AE}\text{,}\text{BC}\text{,}\text{BD}\text{,}\text{BE}\text{,}\text{CD}\text{,}\text{CE}\text{,}\text{DE}\right\}$