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Thread: f you add the digits in a #, how many #s between 0 and 10000 will have a sum of 10?

  1. #1
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    f you add the digits in a #, how many #s between 0 and 10000 will have a sum of 10?


    "If you add the digits in a number, how many numbers between 0 and 10000 will have a sum of 10?"

    Could you guys help me solve this, and please explain it to me? If I get it right, I will be able to get extra credit on my Math average!

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  2. #2
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    Quote Originally Posted by help1 View Post

    "If you add the digits in a number, how many numbers between 0 and 10000 will have a sum of 10?"
    Could you guys help me solve this, and please explain it to me? If I get it right, I will be able to get extra credit on my Math average!
    Well at least your are honest!
    So here is a suggestion. There are four places to put ten ones. How many ways can you put ten ones into four different places? But take away the cases where a place has more than nine ones.

    Or you can find the coefficient of x^{10} in the expansion of
    \left( {\sum\limits_{k = 0}^9 {x^k } } \right)^4
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