  We investigate how the range of parameters that specify the two-particle
distribution function is restricted if we require that this function be
obtained from the $n^{\rm th}$ order distribution functions that are symmetric
with respect to the permutation of any two particles. We consider the simple
case when each variable in the distribution functions can take only two values.
Results for all $n$ values are given, including the limit of $n\to\infty$. We
use our results to obtain bounds on the allowed values of magnetization and
magnetic susceptibility in an $n$ particle Fermi fluid.
