1. Counting Problem!

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?

2. Re: Counting Problem!

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?

3. Re: Counting Problem!

No .. the order is not important.

4. Re: Counting Problem!

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?

5. Re: Counting Problem!

LOL, , I didn't saw it ... yea, that's a typo.