What is the value of 9 factorial (9!)?

What is the value of 9 factorial (9!)?

• A. 362880
• B. 40320
• C. 2880
• D. 720

Answer: (A)

To find the value of 9 factorial (9!), you multiply all whole numbers from 9 down to 1. The calculation is as follows: 9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. Calculating this step-by-step: 1. 9 x 8 = 72 2. 72 x 7 = 504 3. 504 x 6 = 3024 4. 3024 x 5 = 15120 5. 15120 x 4 = 60480 6. 60480 x 3 = 181440 7. 181440 x 2 = 362880 8. 362880 x 1 = 362880 After completing all the multiplications, we find that the value of 9! equals 362880. Therefore, the correct answer is indeed 362880, as it represents the total permutations of arranging 9 distinct objects. This concept is crucial in combinatorics and probability, where factorials are frequently used.

To find the value of 9 factorial (9!), you multiply all whole numbers from 9 down to 1. The calculation is as follows:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

Calculating this step-by-step:

1. 9 x 8 = 72

2. 72 x 7 = 504

3. 504 x 6 = 3024

4. 3024 x 5 = 15120

5. 15120 x 4 = 60480

6. 60480 x 3 = 181440

7. 181440 x 2 = 362880

8. 362880 x 1 = 362880

After completing all the multiplications, we find that the value of 9! equals 362880. Therefore, the correct answer is indeed 362880, as it represents the total permutations of arranging 9 distinct objects. This concept is crucial in combinatorics and probability, where factorials are frequently used.