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.
a. How many committees of six can be formed from the club membership?
b. How many of the committees will contain at least three club members who, in the preliminary survey, favored the change in the bylaws?