2003 AMC 8 Problem 16
Attempt Problem 16 of the 2003 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
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?
Answer: D
Small hint:
Choose the driver first.
Big hint:
After the driver is chosen, arrange the other three people in the remaining seats.
Solution:
There are options for who sits in the driver’s seat. There are options for the other front seat, and options for the first back seat.
The last person has to sit in the last seat, for a total of possible seating arrangements.
Thus, D is the correct answer.
Problem 16 in other years
- 1985 AMC 8
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