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We deliver here second new $\textit{H(x)}-binomials'$ recurrence formula,were $H(x)-binomials' $ array is appointed by $Ward-Horadam$ sequence offunctions which in predominantly considered cases where chosen to bepolynomials . Secondly, we supply a review of selected related combinatorialinterpretations of generalized binomial coefficients. We then propose also akind of transfer of interpretation of $p,q-binomial $ coefficients onto$q-binomial$ coefficients interpretations thus bringing us back to$Gy{\"{o}}rgy P\'olya $ and Donald Ervin Knuth relevant investigation decadesago.

Note on Ward-Horadam H(x) - binomials' recurrences and related interpretations, II