For a given isospin $I$, charge $q$, and definite numbers of $\ensuremath{\pi}'\mathrm{s}$, $K'\mathrm{s}$, $\overline{K}'\mathrm{s}$, etc., many independent charge combinations of the particles can be made. If one assigns equal a priori probability to each combination, then explicit solutions for all the multiparticle correlation functions can be given. Although the formulation is general, we specialize to systems containing pions and $K\overline{K}$ pairs only. This is further exemplified by applying it to states with $I=0,1$ and $q=0$, which are relevant to the process ${e}^{+}+{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\mathrm{hadrons}$.