Amy is buying a new car. There are 7 different models to choose from, each with 5 exterior colors available. For the interior, Amy has 8 different choices. In addition, there are 2 choices for the sound system. How many different cars can Amy order?
Question
Amy is buying a new car. There are 7 different models to choose from, each with 5 exterior colors available. For the interior, Amy has 8 different choices. In addition, there are 2 choices for the sound system. How many different cars can Amy order?
Solution
To find the total number of different cars Amy can order, we need to multiply the number of choices for each feature together. This is because for each model, there are 5 color choices, 8 interior choices, and 2 sound system choices.
Step 1: Multiply the number of models by the number of exterior colors. 7 models * 5 exterior colors = 35 combinations
Step 2: Multiply the result by the number of interior choices. 35 combinations * 8 interior choices = 280 combinations
Step 3: Multiply the result by the number of sound system choices. 280 combinations * 2 sound system choices = 560 combinations
So, Amy can order 560 different cars.
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