8 identical blackboards are divided among 4 schools:

1) what are the # of divisions possible?

using combination with repetition formula

I get

2) how many divisions are possible if each school receives at least 1 blackboard?

NOW FOR MY QUESTION:

I was curious to what would happen if it was asked: how many divisions are possible if each school receives at least 2 blackboards?

would it just be:

Thanks for any input