1. \quad\frac{n+1}{n-m+1} \\
2. \quad(n+2)\left( \begin{array}{c} 2n \\ n \end{array} \right) \\
3. \quad s \left( \begin{array}{c} r + s - 1 \\ s \end{array} \right) \\
5. \quad\left( \begin{array}{c} n + 10 \\ 10 \end{array} \right) -1\\
8. \quad 0 \\
9. \quad n (n + 6) 5^{n-2}