Using Countif With Multiple Corresponding Criteria

what I'm trying to do is to make a logbook for a machining center. Each part has an op10 and an op20, essentially front and back. And each part number falls into the category of OS or FS. I've used AND logic to make tables in hidden columns to be used by a countif statement to determine my totals. I.e. to determine if a scroll is completed, op20 has a a value of 1 AND column C is "OS".

I use
=IF(AND(A9=1;C9="OS");1;" ")
Then I countif criteria is 1 in the column i created with that statement.

That works just fine. Now what I want to do is to be able to create daily totals of OS and FS by simply modifying a variable date in a formula. So I'd like to essentially say: Countif Column C =OS and Corresponding column D = 1, and corresponding Shift date = 10.02.12(date to be variable). I'm at a wall here. Is there any way to do this somewhat simply?