The owner of a stereo store wants to advertise that he has many different sound systems in stock. The store carries 6 different CD players, 10 different receivers, and 9 different speakers. Assuming a sound system consists of one of each, how many different sound systems can he advertise?

Answer: 540

Step-by-step explanation:

Given : The owner of a stereo store wants to advertise that he has many different sound systems in stock.

Number of different CD players = 6

Number of different receivers = 10

Number of different speakers = 9

We are assuming that a sound system consists of one of each.

Then by Fundamental principle of counting, we have

The number of different sound systems can he advertise = (Number of different CD players) x (Number of different receivers) x (Number of different speakers)

= 6 x10 x 9 = 540

Hence, the number of different sound systems can he advertise = 540