The aim of this paper is to calculate the quantum excess free energy until the third virial coefficient for the two component plasma (TCP).The second and third virial coefficients are represented in forms of a convergent series expansion. We obtained the excess free energy until the third virial coefficient.
The effects of symmetry are taken into account, also the exchange effects were taken in account. We compared
our results with others. Upon comparison with Ebeling et al. one observes that the considerable contribution of the third virial coefficient in the region of high temperatures.