Abaseball team has 2 first basemen, 3 second basemen, and 2 third basemen. how many combinations of three are possible?

Let x have probability generating function gx (s) and let un generating function u(s) of the sequence uo, u1, satisfies p(x > n). show that the (1- s)u(s) = 1 - gx(s), whenever the series defining these generating functions converge.