Question

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 four members of the club to serve on an executive committee? Numeric Response nces

Answer 1

491400

Explanation:

Given : A club has 28 members.

To Find : . How many ways are there to choose four members of the club to serve on an executive committee?

Solution:

We are supposed to choose four members of the club out of 28.

So, we will use combination

Formula :
`^nC_r=(n!)/(r!(n-r)!)`

n = 28

r = 4

Substitute the values :

`^(28)C_(4)=(28!)/(4!(28-4)!)`

`^(28)C_(4)=(28 * 27 * 26 * 25 * 24!)/(4!(24)!)`

`^(28)C_(4)=(28 * 27 * 26 * 25 * 24)/(4 * 3 * 2 * 1)`

`^(28)C_(4)=491400`

Hence there are 491400 ways o choose four members of the club to serve on an executive committee