Answer:
4686825
Step-by-step explanation:
Given : Researchers plan to use a simple random sample of 9 subjects selected from a pool of 27 available subjects.
To Find : How many different simple random samples are possible?
Solution:
Total subjects = 27
No. of subjects should be in sample = 9
So, to find How many different simple random samples are possible?
So, we will use combination
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
n = 27
r = 9
Substitute the values
[tex]^{27}C_9=\frac{27!}{9!(27-9)!}[/tex]
[tex]^{27}C_9=\frac{27!}{9!(18)!}[/tex]
[tex]^{27}C_9=4686825[/tex]
Hence 4686825 different simple random samples are possible
