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  1. A<sc>bstract</sc> We report the first measurement of the inclusivee+e−→$$ b\overline{b} $$ bb¯ →$$ {D}_s^{\pm } $$ Ds± Xande+e−→$$ b\overline{b} $$ bb¯ → D0/$$ {\overline{D}}^0 $$ D¯0 Xcross sections in the energy range from 10.63 to 11.02 GeV. Based on these results, we determineσ(e+e−→$$ {B}_s^0{\overline{B}}_s^0 $$ Bs0 B¯s0 X) andσ(e+e−→$$ B\overline{B} $$ BB¯ X) in the same energy range. We measure the fraction of$$ {B}_s^0 $$ Bs0 events at Υ(10860) to befs= ($$ {22.0}_{-2.1}^{+2.0} $$ 22.0−2.1+2.0 )%. We determine also the ratio of the$$ {B}_s^0 $$ Bs0 inclusive branching fractions$$ \mathcal{B} $$ B ($$ {B}_s^0 $$ Bs0 → D0/$$ {\overline{D}}^0 $$ D¯0 X)/$$ \mathcal{B} $$ B ($$ {B}_s^0 $$ Bs0 →$$ {D}_s^{\pm } $$ Ds± X) = 0.416 ± 0.018 ± 0.092. The results are obtained using the data collected with the Belle detector at the KEKB asymmetric-energye+e−collider. 
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