the count isn't accurate because a physician with extended hours ends up being counted twice, once for being a physician and once for having extended hours
That's why I said I didn't follow exactly what you want. I assumed you didn't want a double count but I don't get what it is that you do want.
Andrew appears 44 times. He is associated with the 3 specified accounts 34 times. Only 5 of those associations have a Yes in Extended Hours.
So what is it that you are looking for?