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

Answer:

491400

Step-by-step 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 : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 28

r = 4

Substitute the values :

$^{28}C_{4}=\frac{28!}{4!(28-4)!}$

$^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24!}{4!(24)!}$

$^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24}{4 \times 3 \times 2 \times 1}$

$^{28}C_{4}=491400$

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