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Math Help - probability

  1. #1
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    probability

    We are having a debate in work,found your page and taught you might be
    >able to help solve the debate, We have a small lottery in work. There are
    >six numbers 1,2,3,4,5,6, We were wondering how many different combinations
    >there would be with these numbers. It's a long time since any of us did
    >probability
    >
    >kind Regards
    >
    >Mark
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  2. #2
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    You question is really not clear as to what you mean.
    If you want to know how ways to arrange 1,2,3,4,5, &6, then that is (6!)=(6)(5)...(2)(1)=720.
    If your question is something else, please explain in some detail.
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  3. #3
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    question

    in the lottery you pick any combination from numbers 1 - 6
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  4. #4
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    Quote Originally Posted by markoco View Post
    in the lottery you pick any combination from numbers 1 - 6
    What we need to know is how many times do you pick the numbers? 5 times? 6 times?

    -Dan
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  5. #5
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    we get 3 picks
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  6. #6
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    Hello, Mark!

    We have a small lottery in work.
    There are six numbers 1,2,3,4,5,6.
    We were wondering how many different combinations there would be.

    Since you didn't give us the exact rules of your lottery,
    . . I'll have to guess what they are.


    One possible lottery:

    [1] We pick a six-digit number using {1,2,3,4,5,6}.
    . . .Digits may be repeated.

    [2] One of the six-digit numbers is randomly chosen as the winner.

    In this scenario, there are: \,6^6 = 46,656 possible six-digit numbers.


    Another possible lottery:

    [1] We pick a six-digit number using {1,2,3,4,5,6}.
    . . .Digits may not be repeated.

    [2] One of the six-digits number is randomly chosen as the winner.

    Then there are: . 6! = 720 possible six-digit numbers.

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  7. #7
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    sorry should have been more specific, numbers can't be repeated so 6!=720,

    Thanks

    Guys.
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  8. #8
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    Quote Originally Posted by markoco View Post
    we get 3 picks
    If each person gets to pick 3 different numbers from one to six then there are (6)(5)(4)=120 ways for each person to pick his/her numbers.
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  9. #9
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    sorry guys let me clarify it. we pick 6 numbers in any order, numbers can't be repeated.

    the numbers I chose for the lottery are

    3,2,6,4,5,1
    1,3,6,5,2,4
    5,3,4,1,6,2
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