Jordan is planning to buy a vehicle. He has the following choices.Type: sedan or SUVTransmission: 5-speed or automaticColor: red, blue, black, green, or silverTop: sunroof or no sunroof Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible vehicle choices. What is Jordan’s error?

Jordan is choosing one option from each of four categories: type, transmission, color, and top. The fundamental counting principle says to multiply the number of choices in each category: 2 × 2 × 5 × 2 = 40 possible vehicles. Adding the choices counts separate options rather than combinations, so he should have multiplied the choices instead of adding them.

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