A first-principles investigation of the core-level binding energy shifts (CLS) for the 3d 5 / 2 core-electrons of Ag, Pd and 2p 3 / 2 of Cu was carried out for the f.c.c. Ag-Pd and Cu-Pd random alloys within the model of complete screening, which includes both the initial and final state effects, and compared to initial state calculations. It is shown that the model of complete screening in general gives good agreement with experiment and is in substantially better agreement with experiment in the case of Pd when compared to the initial state calculations.