I want to solve this problem with generating function :
How many solutions(non-negative) possible for the equation $${2x}+{3y}+{7z}={r}$$$(r \ge0)$ such that :
1)$x,y,z \ge0$
2)$0 \le z\le 2 \le y \le 8 \le x$
I want to solve this problem with generating function :
How many solutions(non-negative) possible for the equation $${2x}+{3y}+{7z}={r}$$$(r \ge0)$ such that :
1)$x,y,z \ge0$
2)$0 \le z\le 2 \le y \le 8 \le x$