Hello,
We choice a student betheen the 5
We have 4 students possible to put behind
We have 3 students possible to put behind
We have 2 students possible to put behind
Thus 4*3*2*1=24 posibilities but 5 choice possibles for the first student
5*24=120
(or 5!)
But if there are n lockets in the the school’s northern hallway
(n-5)*120 is the right number.
Any way the answer is 120 ways.