Find the numerical value.
-$\left( \begin{array} { l } 20 \ 20 \end{array} \right)$
A) 0
B) 1
C) 19
D) 20

Name: Find the numerical value. -$\left( \begin{array} { l } 20 \\ 20 \end{array} \right)$ A) 0 B) 1 C) 19 D) 20
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Question

Quizplus · Accepted Answer

The notation $\left( \begin{array} { l } n \ k \end{array} \right)$ represents a binomial coefficient, which is calculated as $\frac{n!}{k!(n-k)!}$. When $n = k$, the value is always 1, because $n!/(n!(n-n)!)$ simplifies to $n!/n! \cdot 0!$, and since $0! = 1$, the result is $1$.

Find the Numerical Value (2020)\left( \begin{array} { l } 20 \\ 20 \end{array} \right)(2020​)

Find the Numerical Value $\left( \begin{array} { l } 20 \\ 20 \end{array} \right)$