  In the present paper we study the production of $\chi_b + c\bar c$ at the LHC
within single parton scattering approach. A special attention payed to the
feed-down from $\chi_b$ states to the associated $\Upsilon + c\bar c$
production, which was recently studied by the LHCb. We have found that this
feed-down is about percents of the total cross section seen in the experiment.
It is shown that the shapes of the differential distributions are almost same
as found by the LHCb except the azimuthal asymmetry, which is almost flat in
the experiment. We conclude that the precise study of the single parton
scattering contributions is necessary for the correct isolation of other
possible production channels such as double parton scattering.
