There are 8 seats in a railway compartment. In how many ways can 8 people be seated if 2 must have their backs to the engine and 1 must face the engine?
The Attempt at a Solution
So 3 of them must be in those exact positions so I tried treating them like one entity so I'm ordering 6 things now, but I also need to order the 3 persons
so I have 6! * 3!, but this isn't the answer. What should I do?