What is 6 factorial (6!)?

What is 6 factorial (6!)?

• A. 120
• B. 24
• C. 720
• D. 6

Answer: (C)

Factorial of a number means multiplying all positive integers from 1 up to that number. For six, multiply 1 through 6: 1 × 2 × 3 × 4 × 5 × 6. It’s common to compute as 6 × 5 × 4 × 3 × 2 × 1. Doing the math: 6 × 5 = 30, 30 × 4 = 120, 120 × 3 = 360, 360 × 2 = 720, and 720 × 1 = 720. So six factorial is 720. This value also counts the number of ways to arrange six distinct items, which is why factorials appear in counting problems.

Factorial of a number means multiplying all positive integers from 1 up to that number. For six, multiply 1 through 6: 1 × 2 × 3 × 4 × 5 × 6. It’s common to compute as 6 × 5 × 4 × 3 × 2 × 1. Doing the math: 6 × 5 = 30, 30 × 4 = 120, 120 × 3 = 360, 360 × 2 = 720, and 720 × 1 = 720. So six factorial is 720. This value also counts the number of ways to arrange six distinct items, which is why factorials appear in counting problems.