Answer
The value of the provided expression $_{13}{{C}_{11}}$ is $78$
Work Step by Step
We plug the values into the combination formula:
$\begin{align}
& _{13}{{C}_{11}}=\frac{13!}{11!\left( 13-11 \right)!} \\
& =\frac{13!}{11!2!} \\
& =\frac{13\times 12\times 11!}{2\times 11!} \\
& =78
\end{align}$
