Question

Solve: \( 7! \) = ?

• A. 70
• B. 120
• C. 720
• D. 5040

Hint:

Factorial \( n! \) grows rapidly as \( n \) increases. \( 7! = 5040 \) is an essential value to remember for combinatorics problems.

Answer 1

The Correct Option is D

Factorial of a number \( n! \) is given by: \[ n! = n \times (n-1) \times (n-2) \times ... \times 1 \] For \( 7! \): \[ 7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \] Step-by-step calculation: \[ 7 \times 6 = 42 \] \[ 42 \times 5 = 210 \] \[ 210 \times 4 = 840 \] \[ 840 \times 3 = 2520 \] \[ 2520 \times 2 = 5040 \]
Thus, the correct answer is 5040.