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?