Ok, I've done these types of problems before, but now I'm not given an intersections. Here is the problem:

At a school fair 34 students are given awards for projects. 14 awards were given for biology, 13 in chemistry and 21 in physics. If 3 students are given awards in all three subject areas how many awards are received for one subject area and and 2 subject areas?

So here is what I've started on...

I just don't know where to go without the intersections I guess? Help on this would be much appreciated!