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## Homework Statement

find the characteristic equation of a binomial variable with pmf p(x) =[tex]\frac{n!}{(n-k)!k!}[/tex]*p[tex]^{k}[/tex]*(1-p)[tex]^{n-k}[/tex]

## Homework Equations

characteristic equation

I(t) = [tex]\sum[/tex]p(x)*e[tex]^{tk}[/tex]

## The Attempt at a Solution

I(t) = [tex]\sum[/tex][tex]\frac{n!}{(n-k)!k!}[/tex]*(p[tex]^{k}[/tex]*(1-p)[tex]^{-k}[/tex]*e[tex]^{tk}[/tex])*(1-p)[tex]^{n}[/tex]

i am stuck on this series because i dont know what to do with the combination term.