  The b-factories, such as BelleII, BarBar and LHCb, highlight the increasingly
important role of the study of exotic hadrons. In the paper, we argue the
possible productions of singly anti-charmed pentaquark states $\bar{c}q qqq$
from $B$ mesons in b-factory under the SU(3) symmetry analysis. The concerned
pentaquark known as lowest lying state $S_{6}$, may be a bound or an unbound
state, leading to the discussions separately of both of the hypotheses. We find
the golden channels for two body production of $S_{6}$, such as $B^0 \to
S_{1/2}^{0} \overline \Sigma^0$. Futhermore, we estimate the sizable number of
production events of the states in the b-factory, on the basis of
reconstruction efficiency and experimental luminosity. In short, several
channels that can be adopted in the experiments are served, which may remove
some obstacles for the pursuing new pentaquark states in the experiments.
