Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 65 bank accounts, we want to take a random sample of four accounts in order to learn about the population. How many different random samples of four accounts are possible?

Answer: 6,77,040 different random samples of four accounts are possible.Step-by-step explanation:We have to calculate the different random samples of four accounts are possible from the population of 65 bank accounts.we are using combination formula for calculating various combination of four accounts:= [tex]^{n}C_{r}[/tex] Where,n - total population of bank accountsr - random samples drawn from the population= [tex]^{65}C_{4}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]= [tex]\frac{65!}{4!(65-4)!}[/tex]= [tex]\frac{65!}{4!(61)!}[/tex]= 6,77,040 different random samples of four accounts are possible.