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

Quote:

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Originally Posted by emilyhicks

Find the number of terms in the expansion of $\displaystyle (x+y+z+2w)^{12}$

Find the term involving $\displaystyle x^2y^2z^4w^4$

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

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