A club is cosidering changing its bylaws. In an initial straw vote on the isssue. 24 of the 40 members of the club favored the change and 16 did not. A committee ot six is to be chosen from the 40 club members to devote further stusy to the issue.
a. What is the total number of comnmees ot six that can be formed from the dub membership?
b. How many of the total number of committees will contain at Wast three club member who, in the preliminary survey, favored the change in the bylaws?
To find the numbers of committees of six that can be formed from the club membership.
The number of committees of six that can be formed from the club membership of ways.
The number of combinations of objects chosen from objects when repetitions are not allowed is,
Using the definition of the permutation in the above equation.
The number of committees that will contain at least three club members who, in the preliminary survey, favored the change in the bylaw.
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