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Math Help - Counting Problem!

  1. #1
    Junior Member Kaloda's Avatar
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    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?
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  2. #2
    Super Member ebaines's Avatar
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    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?
    Last edited by ebaines; August 20th 2013 at 11:48 AM.
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  3. #3
    Junior Member Kaloda's Avatar
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    Re: Counting Problem!

    No .. the order is not important.
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  4. #4
    Super Member ebaines's Avatar
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    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?
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  5. #5
    Junior Member Kaloda's Avatar
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    Re: Counting Problem!

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