Evaluate a Binomial Coefficient
-$$\left( \begin{array} { l }
5 \
2
\end{array} \right)$$
A)10
B)5
C)0
D)1

Question

Evaluate a Binomial Coefficient
-$$\left( \begin{array} { l } 
5 \
2
\end{array} \right)$$
A)10
B)5
C)0
D)1

Quizplus · Accepted Answer

The binomial coefficient is evaluated by the formula $\frac{n!}{k!(n-k)!}$, where $n$ is the number of items to choose from and $k$ is the number of items being chosen. Plugging in $n=5$ and $k=2$, we have $\frac{5!}{2!(5-2)!}=\frac{5	imes4}{2	imes1}=10$. Therefore, the answer is A)10.

Evaluate a Binomial Coefficient - (52)\left( \begin{array} { l } 5 \\2\end{array} \right)(52​)

Evaluate a Binomial Coefficient
- $\left( \begin{array} { l } 5 \\2\end{array} \right)$