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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?

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SOLUTION

Write out the given information

[tex]\begin{gathered} \text{TV}=21 \\ \text{Surround sound system =20} \\ \text{DVD players=12} \end{gathered}[/tex]

Since you are to select from the options available,

The number of home theater systems that can be build is

[tex]21\times20\times12=5040[/tex]

Therefore

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

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