Discrete math

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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 -

    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 -

    How many monomials appear in the expansion of (x + y + z)^75?

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