By fitting simultaneously the values of ζ-1/Nc and αs(mc2) on the inclusive rates of the Cabibbo allowed decaysD, F→PP andD→PV, which are independent of the final state interactions, we find ζ=0 and αs(mc2)=0.44. This value for ζ is the same found by other authors [1, 4]. In order to explain the rescattering of the final states produced in the non-leptonic decays of charmedD-particles and to make theoretical predictions for all the exclusive channels, we propose a rescattering model based on the production of resonances inSU(3)-symmetry. In thePP sector we predict a new multiplet of meson resonances 0+ which allows us, with few free parameters, to obtain a satisfactory agreement between theoretical predictions and experimental data. Unfortunately, such an agreement cannot be obtained in thePV sector, for which the presence of other rescattering effects is needed to balance the exotic channelD+→PV. In thePV sector we do not use any free parameter. Finally, we also make predictions for the Cabibbo allowed decay channelsB→PP, PV, without considering in this case the final state interactions, because of the high energy of the decay products.