First observations of the decays are reported using data corresponding to an integrated luminosity of $3,{\rm fb}^{-1}$ collected at 7 and 8 TeV center-of-mass energy in proton-proton collisions with the LHCb detector. In addition, the most precise measurement of the branching fraction is made and a search is performed for the decays . The results obtained are \begin{eqnarray*} (\Lambda_b^0 \to \Lambda_c^+ D^-)/(\Lambda_b^0 \to \Lambda_c^+ D_{s}^-) &=& 0.042 \pm 0.003({\rm stat}) \pm 0.003({\rm syst}), \left[\frac{(\Lambda_b^0 \to \Lambda_c^+ D_{s}^-)}{({\kern 0.2em}\overline{\kern -0.2em B}_d^0 \to D^+D_s^-)}\right]\big/\left[\frac{(\Lambda_b^0 \to \Lambda_c^+\pi^-)}{({\kern 0.2em}\overline{\kern -0.2em B}_d^0 \to D^+\pi^-)}\right] &=& 0.96 \pm 0.02({\rm stat}) \pm 0.06({\rm syst}), (B_s^0 \to D^+D_s^-)/({\kern 0.2em}\overline{\kern -0.2em B}_d^0 \to D^+D_s^-) &=& 0.038\pm0.004({\rm stat})\pm0.003({\rm syst}), ({\kern 0.2em}\overline{\kern -0.2em B}^0 \to \Lambda_c^+ \Lambda_c^-)/({\kern 0.2em}\overline{\kern -0.2em B}d^0 \to D^+D_s^-) & < & 0.0022; [95% ; {\rm C.L.}], (B^0{s} \to \Lambda_c^+ \Lambda_c^-)/(B_s^0 \to D^+D_s^-) & < & 0.30; [95% ; {\rm C.L.}]. \end{eqnarray*} Measurement of the mass of the baryon relative to the meson gives ${M(\Lambda_b^0) -M(B^0) = 339.72\pm 0.24({\rm stat}) \pm 0.18({\rm syst})}/c^2$. This result provides the most precise measurement of the mass of the baryon to date.

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