Question

Mr Korber owns 8 pairs of shoes. How many ways can he choose 4 pairs of shoes to pack into his luggage?

Answer 1

Given:

Mr Korber owns 8 pairs of shoes.

To find:

The number of ways that he chooses 4 pairs of shoes.

Step-by-step explanation:

Using the combination rule,

`\begin{gathered} ^8C_4=(8!)/((8-4)!4!) \\ =(8!)/(4!4!) \\ =(4!*5*6*7*8)/(4!*4*3*2*1) \\ =5*2*7 \\ =70\text{ ways} \end{gathered}`

Thus, he can choose 4 pairs of shoes out of 8 pairs of shoes in 70 ways.