Recently it has been reported that the dependence of the mean normalized multiplicity, RA, in hadron-nucleus collisions upon the effective number of projectile encounters, v' is projectile independent. We report the failure of this kind of scaling using the world data at accelerator and cosmic ray energies. Infact, we have found that the dependence of RA upon the number of projectile encounters vhA is projectile independent. This leads to a new kind of scaling. Further, the scaled multiplicity distributions are found independent on the nature and energy of the incident hadron in the energy range ~ (17.2–300) GeV.