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

To find the value of 5!, we need to understand what the factorial function means. The factorial of a non-negative integer n, denoted as n!, is the product of all positive integers from 1 to n.

For 5!, we calculate it as follows:

5! = 5 × 4 × 3 × 2 × 1

Breaking this down step-by-step:

• First, multiply 5 and 4:

5 × 4 = 20

• Next, take that result and multiply by 3:

20 × 3 = 60

• Then, multiply by 2:

60 × 2 = 120

• Finally, multiply by 1 (which does not change the value):

120 × 1 = 120

Therefore, the complete calculation shows that 5! equals 120. This value reflects the total number of ways to arrange 5 distinct objects, and that is why the answer is indeed 120.