Evaluate the expression.
\[
\left(\begin{array}{l}
5 \\
3
\end{array}\right)
\]

Step 1 ：The given expression is a binomial coefficient, also known as "n choose k". It represents the number of ways to choose k elements from a set of n elements. The formula to calculate it is: \[\left(\begin{array}{l} n \\ k \end{array}\right) = \frac{n!}{k!(n-k)!}\] where "!" denotes factorial, which is the product of all positive integers up to that number.

Step 2 ：In this case, n=5 and k=3. So we need to calculate: \[\left(\begin{array}{l} 5 \\ 3 \end{array}\right) = \frac{5!}{3!(5-3)!}\]

Step 3 ：Final Answer: The value of the expression \[\left(\begin{array}{l} 5 \\ 3 \end{array}\right)\] is \(\boxed{10}\).