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Math Help - Help with Find the Number of Terms

  1. #1
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    Help with Find the Number of Terms

    Hi,

    I just started this class and having trouble with these two problems. Please help.

    Many Thanks,

    Find the number of terms in the expansion of

    Find the term involving
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  2. #2
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    Quote Originally Posted by emilyhicks View Post
    Find the number of terms in the expansion of (x+y+z+2w)^{12}

    Find the term involving x^2y^2z^4w^4
    The number of terms is equal the the number of non-negative integer solutions to the equation x+y+z+w=12.
    So find \binom{12+4-1}{12}.

    For the second part calculate 2^4\frac{12!}{(2!)^2(4!)^2}
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