  The partition function for a system of non-interacting $N-$particles can be
found by summing over all the states of the system. The classical partition
function for an ideal gas differs from Bosonic or Fermionic partition function
in the classical regime. Students find it difficult to follow the differences
arising out of incorrect counting by the classical partition function by
missing out on the indistinguishability of particles and Fermi-Bose statistics.
We present a pedagogical computer-based experiment to probe and demonstrate the
key differences in the partition functions (i) $Q$, for the system of
distinguishable and indistinguishable particles (ii) $B$, for Bosons and (ii)
$F$, for Fermions without formally using the single-particle partition
function.
