5. The 15 math teachers and the school principal of St. Roch are about to take a department photograph. The school photographer is about to arrange the teachers so that there will be three rows facing him. He decided to have the 5 shortest teachers in the front row and the 5 tallest teachers to be in the back row, while the remaining teachers will be placed in the middle row. The principal will also be in any row as long he is standing either the left or right end. How many different arrangements are there for the department photo? [4]