The inclusive production of Ds, D0, and J/ψ mesons is studied using a 1.86fb-1 data sample collected on the Υ(5S) resonance with the Belle detector at the KEKB asymmetric-energy e+e- collider. The number of bb̄ events in this Υ(5S) data sample is determined. We measure the branching fractions B(Υ(5S)→DsX)/2=(23.6±1.2±3.6)%, B(Υ(5S)→D0X)/2=(53.8±2.0±3.4)%, and B(Υ(5S)→J/ ψX)/2=(1.030±0.080±0.067)%. From the Ds and D0 inclusive branching fractions the ratio fs=(18.0±1.3±3.2)% of Bs(*)B̄s(*) to the total bb̄ quark pair production at the Υ(5S) energy is obtained in a model-dependent way. © 2007 The American Physical Society.