# Help with Find the Number of Terms

• Oct 12th 2009, 07:59 AM
emilyhicks
Help with Find the Number of Terms
Hi,

Many Thanks,

Find the number of terms in the expansion of

Find the term involving
• Oct 12th 2009, 09:24 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 $2^4\frac{12!}{(2!)^2(4!)^2}$