Posted by **Genie_math** on Wednesday, October 3, 2012 at 8:49pm.

I need to find the coefficient of x^18 y^32 in (x+y)^50.

I understand that we have to use the binomial theorem. I know how to

find the coefficient for example x^18 but here we have "x" as well as

"y" which I have no idea about.

- Discrete math -
**Reiny**, Wednesday, October 3, 2012 at 8:54pm
general term(r+1)

= C(50,r)(x^(50-r) y^r

comparing this with ? x^18 y^32 we can see that r = 32

so we want C(50,32) which is 1.80535 x 10^13

- Discrete math -
**Genie_math**, Wednesday, October 3, 2012 at 9:05pm
How many monomials appear in the expansion of (x + y + z)^75?

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