The total quantum statistical entropy of Reissner-Nordstrom (RN) black holes is evaluated. The spacetime rnof the black holes is divided into three regions-region 1, (r ＞ ro); region 2, (ro ＞ r ＞ ri);andregion 3,rn(ri ＞ r ＞ 0)-where ro is the radius of the outer event horizon, and ri is the radius of the inner event horizon.rnThe total quantum statistical entropy of RN black holes is S = S1 + S2 + Ss, where Si (i = 1, 2, 3) is the entropy,rncontributed by region Si (i = 1, 2, 3). The detailed calculation shows that S2 ≈ 0. S1 = (π2/45)[kbAo/∈2β3],rnS3 = -(r2/45)[kbAi/∈2βs], where Ao and Ai are, respectively, the area of the outer and inner event horizons.rnThus, as ri approaches ro, in the extreme case the total quantum statistical entropy of RN black holes approaches rnzero.
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