We study the semileptonic and non-leptonic charmed baryon decays with flavor symmetry, where the charmed baryons can be ${\bf B}{c}=(\Xi_c^0,\Xi_c^+,\Lambda_c^+){\bf B}'{c}=(\Sigma_c^{(++,+,0)},\Xi_{c}^{\prime(+,0)},\Omega_c^0){\bf B}{cc}=(\Xi{cc}^{++},\Xi_{cc}^+,\Omega_{cc}^+){\bf B}{ccc}=\Omega^{++}{ccc}{\bf B}n^{(\prime)}$ denoted as the baryon octet (decuplet), we find that the decays are forbidden, while the , , and $\Omega{ccc}^{++}\to \Omega_{cc}^+\ell^+\nu_\ell$ decays are the only existing Cabibbo-allowed modes for , ${\bf B}{cc}\to {\bf B}'c\ell^+\nu\ell{\bf B}{ccc}\to {\bf B}{cc}^{(\prime)}\ell^+\nu\ell{\bf B}{c}\to {\bf B}n^{(\prime)}M{\cal B}(\Xi_c^0\to\Lambda^0\bar K^0,,\Xi_c^+\to\Xi^0\pi^+)=(8.3\pm 0.9,8.0\pm 4.1)\times 10^{-3}{\cal B}(\Lambda_c^+\to \Delta^{++}\pi^-,,\Xi_c^0\to\Omega^- K^+)=(5.5\pm 1.3,4.8\pm 0.5)\times 10^{-3}\Omega{cc}^{+}\to \Xi_c^+\bar K^0\Xi{cc}^{++}\to (\Xi_c^+\pi^+\Sigma_c^{++}\bar K^0)\Omega_{ccc}^{++}\to (\Xi_{cc}^{++}\bar K^0,\Omega_{cc}^+\pi^+,\Xi_c^+ D^+)$ are the favored Cabibbo-allowed decays, which are accessible to the BESIII and LHCb experiments.

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