What is the value of 4! (4 factorial)?

What is the value of 4! (4 factorial)?

• A. 12
• B. 20
• C. 24
• D. 30

Answer: (C)

To determine the value of 4 factorial, represented as 4!, we apply the definition of a factorial, which is the product of all positive integers up to that number. Specifically, 4! is calculated as: 4! = 4 × 3 × 2 × 1 Carrying out the multiplication step-by-step: 1. Start with 4. 2. Multiply by 3: 4 × 3 = 12. 3. Multiply by 2: 12 × 2 = 24. 4. Finally, multiply by 1: 24 × 1 = 24. Thus, the value of 4! is 24. This illustrates that factorials grow rapidly, reflecting the multiplicative nature of placing items in order. In this case, since the calculation of 4! leads directly to 24, it aligns perfectly with the correct choice.

To determine the value of 4 factorial, represented as 4!, we apply the definition of a factorial, which is the product of all positive integers up to that number. Specifically, 4! is calculated as:

4! = 4 × 3 × 2 × 1

Carrying out the multiplication step-by-step:

1. Start with 4.

2. Multiply by 3: 4 × 3 = 12.

3. Multiply by 2: 12 × 2 = 24.

4. Finally, multiply by 1: 24 × 1 = 24.

Thus, the value of 4! is 24. This illustrates that factorials grow rapidly, reflecting the multiplicative nature of placing items in order. In this case, since the calculation of 4! leads directly to 24, it aligns perfectly with the correct choice.