Question

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 7 different TVs, 5 types of surround sound systems, and 8 types of DVD players. How many different home theater systems can you build?

Answer 1

Solution:

Given:

$\begin{gathered} TV=7 \\ Surround\text{ sound systems}=5 \\ DVD\text{ players}=8 \end{gathered}$

The number of different home theatre systems that can be built is;

$7\times5\times8=280\text{ ways}$

Therefore, there are 280 ways to build different home theater systems that consist of a TV, surround system, and DVD player.