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Math Help - generating functions quesiton

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    generating functions quesiton

    using generating functions to determine the number of different ways 10 identical ballons can be given to four children if each child receives at least two balloonss. Can you help me please ?
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    Quote Originally Posted by jacklarson View Post
    using generating functions to determine the number of different ways 10 identical ballons can be given to four children if each child receives at least two balloonss. Can you help me please ?
    Expand \left( {\sum\limits_{k = 2}^5 {x^k } } \right)^4 .
    Look at the coefficient of x^{10} for the number of ways.
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