Answer to Question #310820 in Statistics and Probability for cjsemillan

Question

A population consists of the four numbers 1, 2, 4 and 5. List all the possible samples of size n = 3

which can be drawn with replacement from the population.

Answer 1

The number of samples, n, that can be drawn from the population 1,2,3,4 is given by:

$\space^{n}C_r=\frac{n!}{(n-r)!r!}$

Where n=4 and r=3

$\therefore \space^{4}C_3=\frac{4!}{(4-3)!3!}$

$=\space{4}$ is the possible samples that can be drawn without replacement. These are:

$1,2,3$

$1,2,4$

$1,3,4$

$2,3,4$