  Based on a contact lagrangian that incorporates the SU(3) flavor and SU(2)
spin symmetries, we discuss the symmetry properties of the interactions among
the heavy flavor meson-baryon $P_{\psi}^N$, $P_{\psi s}^\Lambda$ (with quark
components [$n\bar{c}$][$nnc$], [$s\bar{c}$][$nnc$], or [$n\bar{c}$][$nsc$])
systems and di-baryon $H_{\Omega_{ccc}}^N$, $H^{\Lambda}_{\Omega_{ccc}s}$ (with
quark components [$nnc$][$ncc$], [$nnc$][$scc$] or [$nsc$][$ncc$]) systems
($n=u$, $d$). The light quark components of the $P_{\psi}^N$ ($P_{\psi
s}^\Lambda$) and $H_{\Omega_{ccc}}^N$ ($H_{\Omega_{ccc}s}^\Lambda$) systems
have identical flavors, the interactions generated from the exchanges of light
mesons in the $P_{\psi}^N$ ($P^\Lambda_{\psi s}$) systems should be very
similar to that of the $H_{\Omega_{ccc}}^N$ ($H^{\Lambda}_{\Omega_{ccc}s}$)
systems. We perform the single-channel and multi-channel calculations on the
$P_{\psi}^N/P^\Lambda_{\psi s}/H_{\Omega_{ccc}}^N/H^{\Lambda}_{\Omega_{ccc}s}$
systems and introduce the SU(3) breaking effect to identify the different mass
spectra among the $P_{\psi}^N$ ($H_{\Omega_{ccc}}^N$) and $P^\Lambda_{\psi s}$
($H^{\Lambda}_{\Omega_{ccc}s}$) systems. We suggest two kinds of evidences for
the existence of the flavor-spin symmetry among the heavy flavor
$P_{\psi}^N/H_{\Omega_{ccc}}^N/P^\Lambda_{\psi s}/H^{\Lambda}_{\Omega_{ccc}s}$
molecule community, i.e., the mass arrangements of the
$P_{\psi}^N/H_{\Omega_{ccc}}^N/P^\Lambda_{\psi s}/H^{\Lambda}_{\Omega_{ccc}s}$
mass spectra and the binding energies of the heavy flavor meson-baryon
(di-baryon) systems attributed to the same contact potentials.
