Problem

At a computer store, a customer is considering 8 different computers, 10 different monitors, 6 different printers and 4 different scanners. Assuming that each of the components is compatible with one another and that one of each is to be selected, determine the number of different computer systems possible.
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There are $\square$ different computer systems possible.
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Final Answer: There are \(\boxed{1920}\) different computer systems possible.

Steps

Step 1 :The problem is asking for the total number of different computer systems possible. Since the customer is selecting one of each component and each component is compatible with one another, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing, and n ways to do another, then there are m*n ways to do both.

Step 2 :In this case, there are 8 ways to choose a computer, 10 ways to choose a monitor, 6 ways to choose a printer, and 4 ways to choose a scanner.

Step 3 :Therefore, the total number of different computer systems possible is \(8 \times 10 \times 6 \times 4\).

Step 4 :Final Answer: There are \(\boxed{1920}\) different computer systems possible.

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