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

Name: Calculate the binomial coefficient: $\left( \begin{array} { c } 11 \\ 6 \end{array} \right)$ A)332640 B)66 C)462 D)1 E)0
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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 is given by the formula (n choose k) = n!/k!(n-k)!. In this case, n=11 and k=4. Plugging in the values, we get (11 choose 4) = 11!/(4!7!) = (11x10x9x8)/(4x3x2x1) = 330/24 = 462. Therefore, the correct answer is (C) 462.

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

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