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Math Help - solution combinations

  1. #1
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    solution combinations

    I will have 7 numbers from 1 to 39. They can be any 7 numbers of 1 to 39. So how many parts i have to divide of those numbers. Example it can be 1,6,9,23,33,35,37 or other differents number. So can i have a solution of that?
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  2. #2
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    Are you asking: "How subsets of seven numbers are there using the integers 1 to 39?"
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  3. #3
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    Hello, faruk_fin!

    I will have 7 numbers from 1 to 39. They can be any 7 numbers of 1 to 39.
    So how many parts i have to divide of those numbers.
    Example: it can be 1,6,9,23,33,35,37 or other differents number.
    So can i have a solution of that?
    I will assume the question is: In how may ways can we take 7 of 39 objects?


    The answer is: . _{39}C_7 \;=\;{39\choose7} \;=\;\frac{39!}{7!\,32!} \;=\;15,\!380,\!937 ways.

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  4. #4
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    Thanks a lot.
    But i want to know how many times i have to write those numbers 1 t0 39 n each time their will be 7 numbers. So if someone give me any 7 numbers of 1 to 39 at least their will be similarity once. Plz help me. Thanks again.

    Thanks a lot.
    But i want to know how many times i have to write those numbers 1 t0 39 n each time their will be 7 numbers. So if someone give me any 7 numbers of 1 to 39 at least their will be similarity once. And how have to write all those numbers different time? Plz help me. Thanks again.

    Quote Originally Posted by Plato View Post
    Are you asking: "How subsets of seven numbers are there using the integers 1 to 39?"
    It not that kind. I want know how many times i have to write those numbers n how many parts they will be. Each time ther will be 7 numbers they must to be 1 to 39. So any 7 numbers i get there will be similarity. Plz help.
    Last edited by mr fantastic; December 23rd 2008 at 06:33 PM.
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  5. #5
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    Quote Originally Posted by faruk_fin View Post
    Quote Originally Posted by Plato View Post
    Are you asking: "How subsets of seven numbers are there using the integers 1 to 39?"
    It not that kind. I want know how many times i have to write those numbers n how many parts they will be. Each time ther will be 7 numbers they must to be 1 to 39. So any 7 numbers i get there will be similarity. Plz help.
    As much as you seem to dislike it, Sorobanís answer it the number that you for which you are asking.

    If you disagree with me then you must make your question more mathematical meaningful?
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  6. #6
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    Hello again, faruk_fin!

    I'll take a guess at what you are asking . . .


    We have a list of the 15,380,937 sets of seven numbers from the set 1-to-39.

    . . \begin{array}{c} \{1,2,3,4,5,6,7\} \\ \{1,2,3,4,5,6,8\} \\ \{1,2,3,4,5,6,9\} \\ \vdots \\ \{33,34,35,36,37,38,39\} \end{array}


    How many times does a particular number (say, 23) appear on the list?


    I would conjecture that any number appears \tfrac{1}{39} of the time.

    Therefore, "23" appears \frac{15,380,937}{39} \:=\:394,383 times.

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