The mesoscopic effect of tile point-contact conductance dependence on
spatial distribution of the impurities is theoretically studied. It is
shown that the resistance R dependence on the diameter d is determine
d not only by the electron mean free path I-i, but also by the average
distance between the impurities. In the case of two types of impuriti
es with different concentrations the mesoscopic effect is predicted fo
r the dirty point-contact (d much greater than l(i)) due to the scatte
ring on specific (e.g. magnetic) impurities with low concentration. Su
ch contacts were numerically modeled for random distributions of the t
wo types of impurities.