Question

A news paper editor has received 8 books to review. He decides that he can use 3 reviews in his newspaper. How many different ways can these 3 reviews be selected?

Answer 1

ANSWER

56 ways

EXPLANATION

We have to find how many combinations of 3 books out of the 8 books there can be,

$_8C_3=\frac{8!}{3!\left(8-3\right)!}=\frac{8\cdot7\cdot6\cdot5!}{3\cdot2\cdot1\cdot5!}=\frac{8\cdot7\cdot6}{6}=8\cdot7=56$

Hence, there are 56 ways these 3 reviews can be selected.