  We look at two well known examples of interacting systems relating to
condensed matter in which we put the strong interacting parameters. At high
quark chemical potentials and low temperatures we study the entropy arising
from the excitation in the BCS model of superconductivity and the Bose-Einstein
condensation (BEC) of colored quark pairs. We compare it with the ground state
entropy for a system consisting of two colored quarks. In the BCS model we
found that the entropy strongly depends on the energy gap. Both for the very
small values of the momenta as well as those much greater than the
characterizing Fermi momentum $p_f$, the ground state entropy is dominant. For
the BEC case we suggest a phenomenological model to build up colored bosonic
quark pairs. Here the entropy entirely depends upon the short ranged repulsive
interactions between the quark pairs and vanishes for large momenta.
