Question 218178: Kindly answer this question!!! Please!!! A car manufacturer offers 4 choices of body design, 10 color combination, and 3 different engines. How many different cars are required for a complete display?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! You have 4 body designs, 10 color combinations, 3 engines.
For each body design you have 10 colors, so the total possible combinations are 4 * 10 = 40
For each one of these 40 combinations you have 3 engines, so the total possible combinations are 40 * 3 = 120.
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Your equation is:
4 * 10 * 3 = 120
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If I tell you that you have 2 body designs to choose from and 3 color combinations and 2 engines to choose from, you would have a total of 2 * 3 * 2 possible combinations. This can be shown as follows:
Let the 2 body designs be B1 and B2
Let the 2 colors be C1 and C2
Let the 2 engines be E1 and E2
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Your possible combinations are:
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B1C1E1
B1C1E2
B1C2E1
B1C2E2
B1C3E1
B1C3E2
B2C1E1
B2C1E2
B2C2E1
B2C2E2
B2C3E1
B2C3E2
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Your answer is 120 which is 4 * 10 * 3
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4 body designs
10 colors
3 engine types
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