MathDB
Possible Seating Arrangements

Source:

June 4, 2011
probabilityMATHCOUNTSAMC 8

Problem Statement

Ali, Bonnie, Carlo, and Dianna are going to drive together to a nearby theme park. The car they are using has 44 seats: 11 Driver seat, 11 front passenger seat, and 22 back passenger seat. Bonnie and Carlo are the only ones who know how to drive the car. How many possible seating arrangements are there?
<spanclass=latexbold>(A)</span> 2<spanclass=latexbold>(B)</span> 4<spanclass=latexbold>(C)</span> 6<spanclass=latexbold>(D)</span> 12<spanclass=latexbold>(E)</span> 24<span class='latex-bold'>(A)</span>\ 2 \qquad <span class='latex-bold'>(B)</span>\ 4 \qquad <span class='latex-bold'>(C)</span>\ 6 \qquad <span class='latex-bold'>(D)</span>\ 12 \qquad <span class='latex-bold'>(E)</span>\ 24