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

To determine the value of the expression 5!, which represents the factorial of 5, you calculate it by multiplying all positive integers from 1 to 5 together. The calculation unfolds as follows:

5! = 5 × 4 × 3 × 2 × 1.

Breaking it down step by step:

1. Start with 5:

• 5

2. Multiply by the next integer, 4:

• 5 × 4 = 20

3. Multiply by 3:

• 20 × 3 = 60

4. Multiply by 2:

• 60 × 2 = 120

5. Finally, multiply by 1:

• 120 × 1 = 120

Thus, 5! = 120.

This numeric progression highlights the factorial operation's nature, where each integer is included in the product. Consequently, the correct value of 5! is 120, which is why this choice is identified as the correct answer.