Calculate the binomial coefficient:
$\left( \begin{array} { c } 11 \ 6 \end{array} \right)$
A) 332,640
B) 66
C) 462
D) 1
E) 0

Question

Quizplus · Accepted Answer

The binomial coefficient is calculated using the formula: 
$$\binom{n}{k} = \frac{n!}{k!(n-k)!}$$
In this case, we have:
$$\binom{11}{6} = \frac{11!}{6!(11-6)!} = \frac{11\times10\times9\times8\times7}{5\times4\times3\times2\times1} = 462$$
Therefore, the answer is choice C.

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

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