Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 21 you want to buy a new car. in the model youve selected, the…

Question

question 21

you want to buy a new car. in the model youve selected, the dealership offers 12 exterior colors, 4 interior colors, and 3 engine types.

how many different cars can you create?

144
164
57
19

Explanation:

Identify the given choices

Using the Fundamental Counting Principle knowledge point

  • Exterior colors: \(12\)
  • Interior colors: \(4\)
  • Engine types: \(3\)

Calculate the total combinations

Using the Fundamental Counting Principle knowledge point

$$ \text{Total combinations} = 12 \times 4 \times 3 = 144 $$

Answer:

  • (A) 144 (Correct answer)
  • (B) 164
  • (C) 57
  • (D) 19