Answer
The value of the binomial expression is $165$.
Work Step by Step
Let us consider the provided expression, $\begin{align}
& \left( \begin{matrix}
11 \\
8 \\
\end{matrix} \right)=\frac{11!}{8!\left( 11-8 \right)!} \\
& =\frac{11!}{3!8!} \\
& =\frac{11\cdot 10\cdot 9}{3\cdot 2\cdot 1} \\
& =165
\end{align}$
