Answer to Question #341087 in Statistics and Probability for amerol

Question

Given the population 1,3,4,6 and 8. Suppose samples of size 3 are drawn from this population.

How many different samples can be drawn from this population?

Answer 1

We have population values $1,3,4,6,8,$ population size $N=5$ and sample size $n=2.$ Thus, the number of possible samples which can be drawn without replacement is

$_NC_n=\frac {N!} {(N-n)!n!}$

$_5C_3=\frac {5!} {(5-2)!2!}=\frac {120} {2!3!}=\frac {120} {12}=10$