A population consists of 8 items. The number of different simple random samples of size 3 (without replacement) that can be selected from this population is _____.
A) 24
B) 56
C) 512
D) 128

Question

Quizplus · Accepted Answer

The number of different simple random samples of size r that can be selected from a population of size n is given by the formula $\binom{n}{r} = \frac{n!}{r!(n-r)!}$. Plugging in the values, we get $\binom{8}{3} = \frac{8!}{3!5!} = 56$. Therefore, the answer is choice (B).

A Population Consists of 8 Items