Question

A club is considering changing its bylaws. In an initial straw vote on the issue, 24 of the 40 members of the club favored the change and 16 did not. A committee of six is to be chosen from the 40 club members to devote further study to the issue.

1. How many committees of six can be formed from the club membership?

2. How many of the committees will contain at least three club members, who in the preliminary survey, favored the change in the bylaws?

3. What is the probability of finding a committee that will have less members who were not in favor of the change in the initial vote?

4. What is the probability of having a committee that has half in favor and other half not in favor?

5. How many committees will only have members that favored the changes initially?

Answer 1