What is the value of 5 factorial (5!)?

The value of 5 factorial, denoted as 5!, is calculated by multiplying all whole numbers from 1 up to 5. This can be expressed mathematically as:

5! = 5 × 4 × 3 × 2 × 1

Calculating this step-by-step:

1. First, multiply 5 by 4 to get 20.

2. Then, multiply 20 by 3, which equals 60.

3. Next, multiply 60 by 2 to obtain 120.

4. Finally, multiply 120 by 1, which remains 120.

Thus, 5! = 120. The factorial function grows rapidly as the number increases, making this calculation straightforward but significant for larger numbers. Understanding this concept is crucial when working with permutations, combinations, and various mathematical applications.