Let the system of equations $$ \begin{aligned} & x+5 y-z=1 \\ & 4 x+3 y-3 z=7 \\ & 24 x+y+\lambda z=\mu \end{aligned} $$ $\lambda, \mu \in \mathbf{R}$, have infinitely many solutions. Then the number of the solutions of this system, if $\mathrm{x}, \mathrm{y}, \mathrm{z}$ are integers and satisfy $7 \leqslant x+y+z \leqslant 77$, is: