The divergent views of Duff, Okun and Veneziano on the number of fundamental constants in nature are examined from a new perspective. It is shown that the problem of the minimum number of dimensional fundamental constants can be solved by choosing the fundamental constants of the electron as the primary and independent constants. Three dimensional constants of the electron (me, re, te) and two dimensionless constants, the fine structure constant "alpha" and the large Weyl number (D0 = 4.16561... x 10^42), are proposed as a complete basis for independent fundamental constants. Numerous examples have shown that the fundamental constants (me, re, te, α, Do) are the primary basis for both physical constants and parameters of the Universe. The parameters of the Universe, physical constants, and large Weyl-Eddington-Dirac numbers originate from the primary fundamental constants (me, re, te, α, Do). Five fundamental constants (me, re, te, α, Do) are sufficient to express the entire set of observable physical laws. Veneziano's statement about the non-fundamental status of the constants G, ћ is confirmed. Duff's statement about the non-fundamental status of all three constants G, ћ, c is confirmed. Duff's statement about the zero number of dimensional fundamental constants in Nature is not confirmed.