Evaluate the expression.
-$$\left( \begin{array} { c }
12 \
7
\end{array} \right)$$
A) 240
B) 792
C) 95,040
D) 1,995,840

Question

Evaluate the expression.
-$$\left( \begin{array} { c } 
12 \
7
\end{array} \right)$$
A) 240
B) 792
C) 95,040
D) 1,995,840

Quizplus · Accepted Answer

The expression $\left( \begin{array} { c } 12 \ 7 \end{array} \right)$ represents the number of ways to choose 7 items out of 12, which is calculated using the combination formula $C(n, k) = \frac{n!}{k!(n-k)!}$. Plugging in $n=12$ and $k=7$, we get $C(12, 7) = \frac{12!}{7!(12-7)!} = \frac{12!}{7!5!} = 792$.

Evaluate the Expression (127)\left( \begin{array} { c } 12 \\7\end{array} \right)(127​)

Evaluate the Expression $\left( \begin{array} { c } 12 \\7\end{array} \right)$