Question

Ali, Bonnie, Carlo and Dianna are going to drive together to a nearby theme park. The car they are using has four seats: one driver’s seat, one front passenger seat and two back seats. Bonnie and Carlo are the only two who can drive the car. How many possible seating arrangements are there?

$2$

$4$

$6$

$12$

$24$

Solution:

There are $2$ options for who sits in the driver's seat. There are $3$ options for the other front seat, and $2$ options for the first passenger seat.

The last person has to sit in the last seat, for a total of $2 \cdot 3 \cdot 2 = 12$ possible seating arrangements.

Thus, D is the correct answer.

2003 AMC 8 Problem 16

Solution:

Problem 16 in Other Years