  In this paper we show that, using combinatorial inequalities and
Matrix-Averages, we can generate Musielak-Orlicz spaces, i.e., we prove that
$1/\pi \sum_{\pi} \max\limits_{1 \leq i \leq n} \abs{x_i y_{i\pi(i)}} \sim
\norm{x}_{\Sigma M_i}$, where the Orlicz functions $M_1,...,M_n$ depend on the
matrix $(y_{ij})_{i,j=1}^n$. We also provide an approximation result for
Musielak-Orlicz norms which already in the case of Orlicz spaces turned out to
be very useful.
