Question

Evaluate:$\left(\begin{array}{c}5\\ 2\end{array}\right)$

Short answer

The value of$\left(\begin{array}{c}5\\ 2\end{array}\right)=10$

Step-by-step solution

. Given information

We have to find the value of$\left(\begin{array}{c}5\\ 2\end{array}\right)$

Step 2. To find the value of given symbol.

$$\begin{gathered} \left(\begin{array}{c}5\\ 2\end{array}\right)=\frac{5!}{2!(5-2)!} \\ =\frac{5!}{2!3!} \\ =\frac{5\times 4\times 3\times 2\times 1}{2\times 1\times 3\times 2\times 1} \\ =10 \end{gathered}$$