Coefficient of $x^ {15}$ in $(1+x+x^ {3}+x^ {4})$^ {n} is

The cofficient of $x^{32}$in the expansion of $( x^4 - \frac {1}{x^3})^{15}$is

The coefficient of $x ^ { 4 }$ in the expansion of $\left( 1 + x + x ^ { 2 } + x ^ { 3 } \right) ^ { 11 }$ is

The coefficient of $x^{49}$ in the product $(x-1)(x-3) \dots(x-99)$ is

$\mathrm{f}(\mathrm{x})=3+\frac{x}{2}$ এবং $g(p)=1-\frac{1}{2} p$