Answer :
Certainly! To find \(12!\) (read as "12 factorial"), we need to multiply all positive integers from 1 up to 12 together. Here are the detailed steps:
1. Start with the number \(1\).
2. Multiply by \(2\): \(1 \times 2 = 2\).
3. Multiply the result by \(3\): \(2 \times 3 = 6\).
4. Multiply the result by \(4\): \(6 \times 4 = 24\).
5. Multiply the result by \(5\): \(24 \times 5 = 120\).
6. Multiply the result by \(6\): \(120 \times 6 = 720\).
7. Multiply the result by \(7\): \(720 \times 7 = 5040\).
8. Multiply the result by \(8\): \(5040 \times 8 = 40320\).
9. Multiply the result by \(9\): \(40320 \times 9 = 362880\).
10. Multiply the result by \(10\): \(362880 \times 10 = 3628800\).
11. Multiply the result by \(11\): \(3628800 \times 11 = 39916800\).
12. Finally, multiply the result by \(12\): \(39916800 \times 12 = 479001600\).
Therefore, [tex]\(12! = 479001600\)[/tex].
1. Start with the number \(1\).
2. Multiply by \(2\): \(1 \times 2 = 2\).
3. Multiply the result by \(3\): \(2 \times 3 = 6\).
4. Multiply the result by \(4\): \(6 \times 4 = 24\).
5. Multiply the result by \(5\): \(24 \times 5 = 120\).
6. Multiply the result by \(6\): \(120 \times 6 = 720\).
7. Multiply the result by \(7\): \(720 \times 7 = 5040\).
8. Multiply the result by \(8\): \(5040 \times 8 = 40320\).
9. Multiply the result by \(9\): \(40320 \times 9 = 362880\).
10. Multiply the result by \(10\): \(362880 \times 10 = 3628800\).
11. Multiply the result by \(11\): \(3628800 \times 11 = 39916800\).
12. Finally, multiply the result by \(12\): \(39916800 \times 12 = 479001600\).
Therefore, [tex]\(12! = 479001600\)[/tex].
