  Flavor SU(3) symmetry is a powerful tool to analyze charmed baryon decays,
however its applicability remains to be experimentally validated. Since there
is not much data on $\Xi_c$ decays, various exclusive $\Lambda_c$ decays
especially the ones into a neutron state are essential for the test of flavor
symmetry. These decay modes are also helpful to investigate final state
interactions in charmed baryon decays. In this work, we discuss the explicit
roles of $\Lambda_c$ decays into a neutron in testing the flavor symmetry and
exploring final state interactions. The involved decay modes include
semileptonic decays, two-body and three-body non-leptonic decays, but all of
them have not been experimentally observed to date.
