Calculate the binomial coefficient: $\left( \begin{array} { c }
11 \
6
\end{array} \right)$
A)332640
B)66
C)462
D)1
E)0

Question

Calculate the binomial coefficient: $\left( \begin{array} { c } 
11 \
6
\end{array} \right)$
A)332640
B)66
C)462
D)1
E)0

Quizplus · Accepted Answer

The binomial coefficient $\left( \begin{array} { c } 11 \ 6 \end{array} \right)$ is calculated using the formula $\frac{n!}{k!(n-k)!}$, where $n=11$ and $k=6$. Thus, $\left( \begin{array} { c } 11 \ 6 \end{array} \right) = \frac{11!}{6!(11-6)!} = \frac{11!}{6!5!} = 462$.

Calculate the Binomial Coefficient (116)\left( \begin{array} { c } 11 \\6\end{array} \right)(116​)

Calculate the Binomial Coefficient $\left( \begin{array} { c } 11 \\6\end{array} \right)$