  The production of $J/\psi$ mesons accompanied by open charm, and of pairs of
open charm hadrons are observed in pp collisions at a centre-of-mass energy of
7 TeV using an integrated luminosity of $355pb^{-1}$ collected with the LHCb
detector. Model independent measurements of absolute cross-sections are given
together with ratios to the measured $J/\psi$ and open charm cross-sections.
The properties of these events are studied and compared to theoretical
predictions.
