Hello, TommyBoy22!

You are absolutely correct!Ok, so 5 people place their names in a hat.

What is the probability that they will each pull out there own name?

So correct me if i'm wrong (chances are I am) but ...

There are permutations, with only chance of them chosing their own names.

Another approach:

The first has a chance of getting his name.

The second has a chance of getting his name.

The third has a chance of getting his name.

. . . and so on.