[Self] Given a deck of 40 cards...

16 cards have the value 1 (40%)

12 cards have the value 2 (30%)

8 cards have the value 3 (20%)

4 cards have the value 4 (10%)

Let's assume we shuffle the deck and deal 4 players 4 cards each.

I would need to know what are all the possible hand combinations and the probability of each hand. More precisely, I am not asking for every hand combination (like 1-1-1-1, 1-1-1-2, 1-1-2-1, 1-2-1-1, 2-1-1-1, 1-1-1-3, 1-1-3-1...) but for every sum the hands have, like the probability of the cards on the hand sum 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5 and 4.

Sorry if this question is pretty dumb, but I am *very* dumb plus I have a migraine.