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^(50r) 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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