Problem – 6
A club has 45 members.
a) How many ways are there to choose four members of the club to serve on an executive committee?
b) How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?
Solution:
a) Number of ways to choose the four members = 45C4 = 148995
b) Number of ways to choose a president, vice president, secretary, and treasurer = 45x44x43x42 = 3575880