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## Homework Statement

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?

## Homework Equations

## 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?