I understand the concept of combinations and permutations. However, I am not getting how to apply the formulas. I believe understanding exactly how to do this would help.
A club has 24 members.
a. In how many ways can 4 officers, a president, vice-president, secretary and treasurer be chosen from the members of the club?
b. In how many ways can a 4-person committee be chosen from the members of the club?
Best Answer
a. The number is $_{24}P_4 = \dfrac{24!}{20!} = 21\times22\times23\times24 = 255,024$ ways.
b. The number is $_{24}C_4 = \dfrac{24!}{4!\times20!} = 10,626$ ways.