Question

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 1

Answer: 6,77,040 different random samples of four accounts are possible.

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:

=
`^(n)C_(r)`

Where,

n - total population of bank accounts

r - random samples drawn from the population

=
`^(65)C_(4)`

=
`(n!)/(r!(n-r)!)`

=
`(65!)/(4!(65-4)!)`

=
`(65!)/(4!(61)!)`

= 6,77,040 different random samples of four accounts are possible.