  Motivated by the prospects of the potential ${\Upsilon}(1S)$ particle at
high-luminosity heavy-flavor experiments, we studied the ${\Upsilon}(1S)$
${\to}$ $B_{c}M$ weak decays, where $M$ $=$ ${\pi}$, ${\rho}$, $K^{(\ast)}$.
The nonfactorizable contributions to hadronic matrix elements are taken into
consideration with the QCDF approach. It is found that the CKM-favored
${\Upsilon}(1S)$ ${\to}$ $B_{c}{\rho}$ decay has branching ratio of ${\cal
O}(10^{-10})$, which might be measured promisingly by the future experiments.
