Question

Sally is interested in buying a car. If she has a choice of $3$ color (red, green, or blue), $2$ body types (two or four doors), and $3$ engine types (four, six, or eight cylinders), calculate how many different models can she choose from.

• A. $6$
• B. $8$
• C. $12$
• D. $16$
• E. $18$

Answer 1

Answer: (E)

$18$

• She can choose any one of the color out of $3$ colors , any one of color out of $2$ body types and any one of color out of $3$ engine types
• Therefore the number of ways she can choose is $2\times 3\times 3=18$
• This is by fundamental principle of counting