Question

a customer can choose one of six amplifiers, one of four compact disc players, and one of eight speaker models for an entertainment system. determine the number of possible system configurations.

Answer 1

There are 192 possible system configurations.

The customer can choose one of six amplifiers, one of four compact disc players, and one of eight speaker models. The number of possible system configurations is the product of these three numbers, which is 6 * 4 * 8 = 192.

Here is another way to calculate the number of possible system configurations:

There are 6 ways to choose an amplifier.

For each amplifier, there are 4 ways to choose a compact disc player.

For each amplifier and compact disc player combination, there are 8 ways to choose a speaker model.

Therefore, there are 6 * 4 * 8 = 192 ways to choose an amplifier, a compact disc player, and a speaker model.

Explanation: