Help with Find the Number of Terms

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Oct 12th 2009, 06:59 AM
emilyhicks

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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
Oct 12th 2009, 08:24 AM
Plato

Quote:

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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