Directions : Five houses lettered \(A, B, C, D\) and \(E\) are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have colored roots and chimneys. The root and chimney of each house must be painted as follows: - \[\] 1. The roof must be painted either green red or yellow. \[\] 2. The chimney must be painted either white, black or red. \[\] 3. No house may have the same color chimney as the color of roof. \[\] 4. No house may use any of the same colors that adjacent house uses. \[\] 5. House E has a green roof. \[\] 6. House B has a red roof and a black chimney. \[\] What is the maximum number of green roofs?
Step-by-step Solution:
\[\begin{array}{|l|l|l|l|l|l|} \hline & A & B & C & D & E \\ \hline Roof & Green & Red & Green & Yellow & Green \\ \hline Chimney & White & Black & White & Blue & Red \\ \hline \end{array}\] Hence Maximum number of Green roofs can be 3. \[\] Choice (C)\[\]