Measurement of the B ---> D-bar(*)D(*)K branching fractions

We present a measurement of the branching fractions of the 22 decay channels of the B(0) and B(+) mesons to (D) over bar (()*()) D(()*()) K, where the D(()*()) and (D) over bar (()*()) mesons are fully reconstructed. Summing the 10 neutral modes and the 12 charged modes, the branching fractions are found to be B(B(0) -> (D) over bar (()*()) D(()*()) K) = (3.68 +/- 0.10 +/- 0.24)% and B(B(+) -> (D) over bar (()*()) D(()*()) K) = (4.05 +/- 0.11 +/- 0.28)%, where the first uncertainties are statistical and the second systematic. The results are based on 429 fb(-1) of data containing 471 X 10(6)B (B) over bar pairs collected at the Y(4S) resonance with the BABAR detector at the SLAC National Accelerator Laboratory.