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 coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:

The roof must be painted either green, red, or yellow.

The chimney must be painted either white, black, or red.

No house may have the same colour chimney as the colour of roof.

No house may use any of the same colours that the every next house uses.

House E has a green roof.

House B has a red roof and a black chimney.
Which of the following is true?