We discuss charm quark/antiquark and charmed meson production in association with one extra jet (gluon, quark, antiquark) at the LHC. The calculations are performed both in collinear and k T -factorization approaches. Different unintegrated gluon distribution functions are used in the k T -factorization approach. Several predictions for the LHC are presented. We show distributions in rapidity and transverse momenta of c/c (or charmed mesons) and the associated jet as well as some two-dimensional observables. Interesting correlation effects are predicted, e.g. in azimuthal angles ϕ cc and ϕ c-jet . We have also discussed a relation of the 2 → 2 and 2 → 3 partonic calculations in the region of large transverse momenta of charm quarks/antiquarks as well as the similarity of the next-to-leading order collinear approach and the k T -factorization approach with the KMR unintegrated parton distribution functions. Integrated cross sections for D 0 + jet production for ATLAS detector acceptance and for different cuts on jet transverse momenta are also presented.