  We present a new method for obtaining the statistical weight of the Gentile
Statistics. In a recent paper, Perez and Tun presented an ap- proximate
combinatoric and an exact recursive formula for the statistical weight of
Gentile Statistics, beginning from bosonic and fermionic cases, respectively
[1]. In this paper, we obtain two exact, one combinatoric and one recursive,
formulae for the statistical weight of Gentile Statistics, by an another
approach. The combinatoric formula is valid only for special cases, whereas
recursive formula is valid for all possible cases. Moreover, for a given
q-maximum number of particles that can occupy a level for Gentile
statistics-the recursive formula we have derived gives the result much faster
than the recursive formula presented in [1], when one uses a computer program.
Moreover we obtained the statistical weight for the distribution proposed by
Dai and Xie in Ref. [2]. Keywords: Fractional statistics, Gentile distribution,
Statistical Weight
