What is the product of 3! (3 factorial)?

What is the product of 3! (3 factorial)?

• A. 3
• B. 6
• C. 9
• D. 12

Answer: (B)

The product of 3! (3 factorial) is calculated by multiplying all positive integers from 1 up to 3. Specifically, 3! is defined as 3 × 2 × 1. Breaking it down: - Start with 3. - Multiply by 2: 3 × 2 = 6. - Then multiply by 1, which does not change the product: 6 × 1 = 6. Thus, the value of 3! is 6. This is why the correct choice is the one that indicates 6 as the answer. To add context, other options do not represent the calculation of the factorial correctly; 3 is simply the base number, 9 is 3 squared, and 12 does not relate to the multiplication required to compute the factorial. Therefore, only 6 accurately represents the product obtained from calculating 3!.

The product of 3! (3 factorial) is calculated by multiplying all positive integers from 1 up to 3. Specifically, 3! is defined as 3 × 2 × 1.

Breaking it down:

• Start with 3.

• Multiply by 2: 3 × 2 = 6.

• Then multiply by 1, which does not change the product: 6 × 1 = 6.

Thus, the value of 3! is 6. This is why the correct choice is the one that indicates 6 as the answer.

To add context, other options do not represent the calculation of the factorial correctly; 3 is simply the base number, 9 is 3 squared, and 12 does not relate to the multiplication required to compute the factorial. Therefore, only 6 accurately represents the product obtained from calculating 3!.