  We argue that as the atomic number of the target nucleus $A \to \infty$, the
multiplicity of leading particles in hadron-nucleus collisions tends to a
finite limit. The limiting multiplicities for various particle production are
computed for both proton and pion projectiles. Signatures at finite A are
discussed. Data from 100 GeV/c central hadron-nucleus collisions are analyzed
and found to be in qualitative agreement with this picture.
