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You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 77 different TVs, 88 types of surround sound systems, and 2323 types of DVD players. How many different home theater systems can you build?

Question

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 77 different TVs, 88 types of surround sound systems, and 2323 types of DVD players. How many different home theater systems can you build?

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Solution

To find the total number of different home theater systems you can build, you need to multiply the number of options for each component together. This is because for each TV you choose, there are 88 different surround sound systems and 2323 DVD players you can pair with it.

So, the calculation is as follows:

77 (TVs) * 88 (surround sound systems) * 2323 (DVD players)

This gives you the total number of different home theater systems you can build.

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