  We study the two-body decays of B^\pm mesons to K^\pm and a charmonium state,
X_{c\bar c}, in a sample of 210.5 fb^{-1} of data from the BaBar experiment. We
perform measurements of absolute branching fractions BR(B^\pm --> K^\pm
X_{c\bar c}) using a missing mass technique, and report several new or improved
results. In particular, the upper limit BR(B^\pm --> K^\pm X(3872))<3.2 10^-4
at 90% CL and the inferred lower limit BR(X(3872) --> J/\psi\pi^+\pi^-)>4.2%
will help in understanding the nature of the recently discovered X(3872).
