Evaluate a Binomial Coefficient
-$$\left( \begin{array} { c }
10 \
5
\end{array} \right)$$
A)252
B)504
C)30,240
D)126

Name: Evaluate a Binomial Coefficient -\[\left( \begin{array} { c } 10 \\ 5 \end{array} \right)\] A)252 B)504 C)30,240 D)126
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Question

Evaluate a Binomial Coefficient
-$$\left( \begin{array} { c } 
10 \
5
\end{array} \right)$$
A)252
B)504
C)30,240
D)126

Quizplus · Accepted Answer

The binomial coefficient formula is $\binom{n}{k}=\frac{n!}{k!(n-k)!}$. Plugging in the values, we get $\binom{10}{5}=\frac{10!}{5!5!}=252$. Therefore, the correct answer is A, 252.

Evaluate a Binomial Coefficient - (105)\left( \begin{array} { c } 10 \\5\end{array} \right)(105​)

Evaluate a Binomial Coefficient
- $\left( \begin{array} { c } 10 \\5\end{array} \right)$