  New measurements of Ds+ and Ds*+ meson production rates from B decays and
from qqbar continuum events near the Y(4S) resonance are presented. Using 20.8
fb-1 of data on the Y(4S) resonance and 2.6 fb-1 off resonance, we find the
inclusive branching fractions BR(B --> Ds+ X) = (10.93+/-0.19+/-0.58+/-2.73)%
and BR(B --> Ds*+ X) = (7.9+/-0.8+/-0.7+/-2.0)%, where the first error is
statistical, the second is systematic, and the third is due to the Ds+ --> phi
pi+ branching fraction uncertainty. The branching fractions SumBR(B --> Ds(*)+
Dbar(*)) = (5.07+/-0.14+/-0.30+/-1.27)% and SumBR(B --> Ds*+ Dbar(*)) =
(4.1+/-0.2+/-0.4+/-1.0)% are determined from the Ds(*)+ momentum spectra.
