Help with Find the Number of Terms

**emilyhicks** · October 12th 2009, 06:59 AM

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

**Plato** · October 12th 2009, 08:24 AM

Originally Posted by emilyhicks

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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