A wealth of new measurements of hadronic B decays to open charm and charmonium have been performed on the data sample collected by the BaBar experiment at the PEP-II e~+e~-B-factory. We report the first measurement of the rates for inclusive charm production separately for charged and neutral B mesons. Combining measurements of the decay rate of B~0 → D_s~(*+) D~(*-) obtained with a partial reconstruction technique and the complete reconstruction of B~0 → D_s~(*+)D~(*-) with D_s~+ → Φπ~+, we obtain the most precise measurement of B(D_s~+ → Φπ~+). We present an update of the measurements of the branching fractions of exclusive B decays to J/ψ , ψ(2S), χ_(c1) , χ_(c2) and a kaon or a K~* . In addition, we show preliminary results on exclusive decay rates to final states with baryons, or newly-discovered particles, such as D_(sJ)~*(2317), D_(sJ)(2460)~+ , and the X(3872) .
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