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

56 ways

Step-by-step explanation

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

`_8C_3=(8!)/(3!\left(8-3\right)!)=(8\cdot7\cdot6\cdot5!)/(3\cdot2\cdot1\cdot5!)=(8\cdot7\cdot6)/(6)=8\cdot7=56`

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