Subjects combinatorics

Vehicle Color Combinations 5Ad145

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Vehicle Color Combinations 5Ad145


1. **State the problem:** Edwin wants to buy three vehicles: a car, a truck, and a motorcycle. Each vehicle has a set of color options. 2. **Identify the options:** - Car colors: red or yellow (2 options) - Truck colors: black, white, or silver (3 options) - Motorcycle colors: green, blue, or orange (3 options) 3. **Formula used:** To find the total number of combinations, multiply the number of options for each vehicle: $$\text{Total combinations} = \text{Car options} \times \text{Truck options} \times \text{Motorcycle options}$$ 4. **Calculate:** $$2 \times 3 \times 3 = 18$$ 5. **Explanation:** Since each choice is independent, the total number of different combinations Edwin can choose from is 18. **Final answer:** Edwin has 18 different combinations of vehicles to choose from.