Is there anywhere that lists how many of each card should be in each core set?
Great Googly Moogly!
That's the sealiest thing I've ever heard!
For the player cards numbered 1-103 you get one of everything for most cards, except you get:
4 each of:
2 each of:
Elder Sign Amulet
You get 2 of the action/round turn cards.
If you're doing the math and saying, "hey, that's one card short of what my rulebook says I should have", that one card is Lita Chandler who is counted as a player card even though she is part of a scenario card set.
As for the scenario cards, they are broken into smaller categories that all have X/Y on the bottom. You should just combine all of those into sets. Some cards will be identical but be 1/7, 2/7, and 3/7 - or something like that. I don't have a listing of how they are broken down, but arkhamdb.com may help you.