This paper describes new measurements from CLEO of the inclusive B→D_s^+X branching fraction as well as the B^+→D_s^((*)+)D^((*)0) and B^0→D_s^((*)+)D^((*)-) branching fractions. The inclusive branching fraction is B(B→D_s^+X)=(12.11±0.39±0.88±1.38)% where the first error is statistical, the second is the systematic error, and the third is the error due to the uncertainty in the D_s^+→φπ^+ branching fraction. The branching fractions for the B→D_s^((*)+)D^(*) modes are found to be between 0.9% and 2.4% and are significantly more precise than previous measurements. The sum of the B→D_s^((*)+)D^(*) branching fractions is consistent with the results of fits to the inclusive D_s^+ momentum spectrum. Factorization is used to arrive at a value for f_D_s, the D_s^+ decay constant
