Evaluate the expression. $$\left( \begin{array} { l }
3 \
0
\end{array} \right)$$
A) 3
B) 12
C) 6
D) 1
E) none of the above

Question

Evaluate the expression. $$\left( \begin{array} { l } 
3 \
0
\end{array} \right)$$
A) 3
B) 12
C) 6
D) 1
E) none of the above

Quizplus · Accepted Answer

The expression $\left( \begin{array} { l } 3 \ 0 \end{array} \right)$ represents a binomial coefficient, which is calculated as $\frac{n!}{k!(n-k)!}$ where $n$ is the upper number and $k$ is the lower number. In this case, it simplifies to $\frac{3!}{0!(3-0)!} = \frac{3!}{0!3!} = \frac{6}{1*6} = 1$, making the correct answer 1.

Evaluate the Expression (30)\left( \begin{array} { l } 3 \\0\end{array} \right)(30​)

Evaluate the Expression $\left( \begin{array} { l } 3 \\0\end{array} \right)$