Brownian dynamics computer simulations have been carried out of complexes formed by charged dendrimers and oppositely charged linear polymer chains of different degree of polymerization N-ch. Bead-rod freely jointed models in the Debye-Huckel approximation without hydrodynamic interactions have been considered. Mean-square radii of gyration together with the radial density distribution functions have been calculated separately for a complex, a dendrimer, and a linear chain in a complex. The mean-square radius of gyration, the different monomer radial distribution functions, and the static structure factor for a dendrimer in a complex with long enough chains are very close to those for a single neutral dendrimer. The monomers of the linear chains with N-ch equal to the number of the dendrimer's terminal charged groups are located very close to these terminal groups. For longer chains the total number of the chain monomers adsorbed onto a dendrimer exceeds the number that is necessary for a dendrimer neutralization, and the overcharging phenomenon is observed. Comparison with predictions of the correlation theory has been carried out.