  Using data collected with the babar detector between 1999 and 2002, we report
the observation of 823+-57 B0 and 969+-65 B+ decays to Dbar(*)D^(*)K, where
Dbar(*) and D(*) are fully reconstructed and where K is either a K+ or a K0_S
decaying to pi+pi-. All 22 possible B decays to Dbar(*)D(*)K are reconstructed
exclusively and the corresponding branching fractions or limits are determined.
The preliminary branching fractions of the B0 and of the B+ to Dbar(*)D^(*)K
are found to be Br(B0->Dbar(*)D^(*)K)=(4.3+-0.3(stat)+-0.6 (syst))10^-2
Br(B+->Dbar(*)D^(*)K)=(3.5+-0.3(stat)+-0.5 (syst))10^-2
