Problem

If a new car has 2 transmission types, 3 vehicle styles, 3 option packages, 9 exterior color choices, and 2 interior color choices, how many different new cars are possible? There are possible different cars.

Solution

Step 1 :This problem is about combinations. Each car is defined by a combination of transmission type, vehicle style, option package, exterior color, and interior color. Since each of these choices is independent of the others, the total number of possible cars is the product of the number of choices for each feature.

Step 2 :Given that there are 2 transmission types, 3 vehicle styles, 3 option packages, 9 exterior color choices, and 2 interior color choices.

Step 3 :We calculate the total number of possible cars by multiplying the number of choices for each feature. So, the calculation is \(2 \times 3 \times 3 \times 9 \times 2\).

Step 4 :By calculating the above expression, we find that the total number of possible cars is 324.

Step 5 :Final Answer: \(\boxed{324}\)

From Solvely APP
Source: https://solvelyapp.com/problems/18374/

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