  The quon algebra gives a description of particles, ``quons,'' that are
neither fermions nor bosons. The parameter $q$ attached to a quon labels a
smooth interpolation between bosons, for which $q = +1$, and fermions, for
which $q = -1$. Wigner and Ehrenfest and Oppenheimer showed that a composite
system of identical bosons and fermions is a fermion if it contains an odd
number of fermions and is a boson otherwise. Here we generalize this result to
composite systems of identical quons. We find
$q_{composite}=q_{constituent}^{n^2}$ for a system of $n$ identical quons. This
result reduces to the earlier result for bosons and fermions. Using this
generalization we find bounds on possible violations of the Pauli exclusion
principle for nucleons and quarks based on such bounds for nuclei.
