SOLUTION: You are going to set up a stereo system by purchasing separate components. In your price range you find 5 different receivers, 8 different compact disc players, and 12 different sp
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Question 1159304: You are going to set up a stereo system by purchasing separate components. In your price range you find 5 different receivers, 8 different compact disc players, and 12 different speaker systems. If you want one of each of these components, how many different stereo systems are possible? Answer by ikleyn(52797) (Show Source):
Since the choice is independent inside each category, the number of all possible configurations
is equal to the product of the numbers of options in each category.
It follows from the fundamental counting principle.
ANSWER. 5*8*12 = 480 different stereo systems are possible.
