Different Looking Cars: Combinations of Chassis, Body Types, and Colors

How Many Different Looking Cars Can Be Made?

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Question

An automobile manufacturer makes 2 different chassis, each of which can have 3 different body types and 8 colors. How many different looking cars can be made with these choices?

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Explanation

The multiplication rule of counting states that the number of combinations available when there are n_1 options in one aspect, n_2 in another, and so on, up to n_k, is n_1 * n_2 * ... * n_k. In this case, the number of combinations is 2*3*8 = 48.

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