Question

Saved Required information NOTE: This is a multi-part . Once an answer is submitted, you will be unable to return to this part A club has 28 members. 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? Numeric Response

Answer 1

Answer: 491400

Explanation:

Given : Total number of members in the club = 28

The number of positions = 4

Since no person can hold more than one office, so order matters here.

Therefore, we use permutations to find the number of ways are there to choose given 4 position holders.

The permutation of n things taken r at a time is given by :-

`^nP_r=(n!)/((n-r)!)`

Then , the permutation of 28 things taken 4 at a time is given by :-

`^(28)P_4=(28!)/((28-4)!)=(28\tiimes27*26*25*24!)/(24!)=491400`

Hence, there are 491400 ways to choose a president, vice president, secretary, and treasurer of the club.