Question

Mr. and Mrs. Lopez have two children. When they get into their family car, two people sit in the front, and the other two sit in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat. How many seating arrangements are possible?

$4$

$12$

$16$

$24$

$48$

Answer: B

Concepts:multiplication principle arrangements with restrictions

Difficulty rating: 1180

Solution:

The driver is one of the two parents: $2$ choices.

Any of the remaining $3$ people can sit in the front passenger seat, and the last $2$ people fill the back in $2$ orders.

The total is $2 \cdot 3 \cdot 2 = 12.$

Thus, the correct answer is B.

2006 AMC 12B Problem 7

Answer: B

Difficulty rating: 1180

Solution:

Problem 7 in Other Years