Question

The sophomore students have large lockers that line the school’s northern hallway in a single row. A group of 5 friends agreed to choose lockers next to each other. How many different ways can the students choose adjacent lockers?

120 ways
5 ways
97 ways
25 ways

Answer 1

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.