We calculated the excess entropy as a function of the number of particles and the size of large particles for each scenario (Fig. ). The system's entropy for hard spheres is always smaller than the entropy for an ideal gas system as ideal gas does not occupy any space, and as a result, they can overlap. Therefore, the excess entropy s ex = ss id is always negative. Furthermore, excess entropy decreases with the increase in size and number of particles as the accessible volume for the distribution of particles decreases.