How many different ways can you draw 9 cards out of a deck of 52 cards given that 4 are 1's.
My classmates and I have a debate on this one.
My answer is 1*1*1*1*[32C5] = 48C5. Is it correct?
Nope, not correct. **EDIT: well actually it might be** But please clarify something - is the order of draw important or not? In other words is drawing cards 1,1,1,1,2,3,4,5,6 considered to be the same or different than 6,5,4,3,2,1,1,1,1?
If order is not important then once you pull the four 1's (by the way, I assume you mean "aces," right?) you have 48 cards remaining. There are 48C5 possible combinations of the other 5 cards. So you were correct, although I was confused by the "32C5" in your post - I guess that was a typo?