On the assumption of a uniform sample space probability hypothesis it is estimated a maximum number of polypeptides (or other kind of polymers) that could be synthesized in the prebiotic Earth. Besides, on the basis of five premises that are postulated as indispensable requirements for the origin of a living system, under the constraints of a protein-nucleic acid chemistry, it is concluded categorically that the origin of life event could not be the result of unbiased polymerization phenomena. On the contrary, biased and specific patterns of polymerization had to be an essential component in this fundamental event. Finally, several theories on the origin of life and complementary concepts like hypercyclic organization and self-organization phenomena in dissipative structures are discussed in the light of the conclusions arrived at in this work.