There have been several successful attempts to construct a noncommutative version or a q-analog of the celebrated MacMahon Master Theorem. However those q-analogs sitting in noncommutative algebras remain so far noninstrumental in word enumeration. Another approach consists of embedding the MacMahon Master identity into a multivariable environment, taking classical word statistics, such as descents and rises, into account. This provides a new tool for calculating several q-factorial series of generating polynomials for symmetric groups by multivariable statistics.