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 : [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
n = 28
r = 4
Substitute the values :
[tex]^{28}C_{4}=\frac{28!}{4!(28-4)!}[/tex]
[tex]^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24!}{4!(24)!}[/tex]
[tex]^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24}{4 \times 3 \times 2 \times 1}[/tex]
[tex]^{28}C_{4}=491400[/tex]
Hence there are 491400 ways o choose four members of the club to serve on an executive committee
