MathDB
Driving Arrangements

Source: AMC 12 2006B, Problem 7

February 17, 2006
AMC

Problem Statement

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? <spanclass=latexbold>(A)</span>4<spanclass=latexbold>(B)</span>12<spanclass=latexbold>(C)</span>16<spanclass=latexbold>(D)</span>24<spanclass=latexbold>(E)</span>48 <span class='latex-bold'>(A) </span> 4 \qquad <span class='latex-bold'>(B) </span> 12 \qquad <span class='latex-bold'>(C) </span> 16 \qquad <span class='latex-bold'>(D) </span> 24 \qquad <span class='latex-bold'>(E) </span> 48