HIGHER-ORDER QCD CORRECTIONS TO B-]C(C)OVER-BAR-S

We calculate the O(alpha(s)(2) beta(0)) corrections to the decay rate b-->c(c) over bars$. For resonable values of m(c)/m(b) this term is of the same order as both the one-loop and O(alpha(s)(2)ln(2)m(w)/m(b)) corrections to the decay rate. For m(c)/m(b) = 0.3 the O(alpha(s)(2) b eta(0)) corrections enhance the rate by similar to 18%. We also discus s the O(alpha(s)(2) beta(0)) corrections to b--><c tau(nu)over bar (ta u)>, the B semileptonic branching fraction, and the charm multiplicity .