Question

A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is

Answer 1

Answer:

The correct answer will be "56".

Step-by-step explanation:

Use a combination of 8 things taken 3 at a time :

⇒  $8_{C_{3}}$

⇒  $\frac{8!}{(3!(8 - 3)!)}$

⇒  $\frac{8!}{(3!5!)}$

⇒  $\frac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{3\times 2\times 1}$

⇒  $8\times 7$

⇒  $56$