B c and $$bbar bcbar c$$ at theZ 0-boson pole

The cross-section for the production of quarks ine⁺e^– annihilation, that proves to be at a level of for is calculated within the frames of the QCD perturbation theory. The cross sections for the associated production of 1S-and 2S-wave states ofB_c-meson in the reaction were calculated in the nonrelativistic model of a heavy quarkonium. The number of_bc-hyperons to be expected at LEP is estimated on the basis of the assumption on quark-hadron duality.