Question

you are ordering a new home theater system that consists of a tv, surround sound system and a dvd player. you can choose from 21 different tv’s, 20 types of surround sound systems and 12 types of dvd players. how many different home theater systems can you build?

Answer 1

SOLUTION

Write out the given information

$\begin{gathered} \text{TV}=21 \\ \text{Surround sound system =20} \\ \text{DVD players=12} \end{gathered}$

Since you are to select from the options available,

The number of home theater systems that can be build is

$21\times20\times12=5040$

Therefore

The number of different home theater systems that can be built is 5040