We study the two-body and three-body charmful baryonic B decays: B 0 → Λc p̄ and B → Λc p̄ π(ρ). The factorizable W -exchange contribution to B 0 → Λc p̄ is negligible. Applying the bag model to evaluate the baryon-to-baryon weak transition matrix element, we find B(B → Λc p̄) <∼ 2.5 × 10−5|gB0pΣ+b /8| 2 with gB0pΣ+ b being a strong coupling for the decay Σb → B 0 p and hence the predicted branchin...