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Thread: a problem with generating functions

  1. #1
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    Post a problem with generating functions

    Hey, I need a little help

    The problem is: Using generating functions (https://en.wikipedia.org/wiki/Generating_function) find out how many solutions the equation a problem with generating functions-ravenka.jpg has
    if
    a problem with generating functions-ravenka2.jpg
    and
    a problem with generating functions-ravenka3.jpg
    a problem with generating functions-ravenka4.jpg



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  2. #2
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    Re: a problem with generating functions

    Quote Originally Posted by Breh View Post
    Click image for larger version. 

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ID:	37151 has
    if
    Click image for larger version. 

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    and
    Click image for larger version. 

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ID:	37153
    Click image for larger version. 

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    $\left( {\sum\limits_{k = 0}^9 {{x^k}} } \right)\left( {\sum\limits_{k = 5}^{14} {{x^k}} } \right)\left( {\sum\limits_{k = 10}^{19} {{x^k}} } \right){\left( {\sum\limits_{k = 0}^{25} {{x^k}} } \right)^3}$

    SEE HERE
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  3. #3
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    Re: a problem with generating functions

    Thank you!
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  4. #4
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    Re: a problem with generating functions

    I am sorry but can you give me a short explanation why the last sum is from k=0 to 25? And why the exponent is three?
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  5. #5
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    Re: a problem with generating functions

    Quote Originally Posted by Breh View Post
    I am sorry but can you give me a short explanation why the last sum is from k=0 to 25? And why the exponent is three?
    The answer is simple $10+5+25=40$. We have two with restricted minimums of $10~\&~5$ so all other cannot add to more that $25$.
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