Simplify 5!
A. 5
B. 15
C. 120
D. 125
The correct answer is C. 120
5! is read as "five factorial" and it means:
5! = 5 × 4 × 3 × 2 × 1
5! = 120
Therefore, the simplified answer is 120.
To simplify the factorial expression 5!, we need to calculate the product of all positive integers from 1 to 5.
Here's the step-by-step process to find the value of 5!:
1. Start with the number 5.
2. Multiply 5 by the previous positive integer (which is 4), resulting in 5 * 4 = 20.
3. Multiply 20 by the previous positive integer (which is 3), resulting in 20 * 3 = 60.
4. Multiply 60 by the previous positive integer (which is 2), resulting in 60 * 2 = 120.
5. Multiply 120 by the previous positive integer (which is 1), resulting in 120 * 1 = 120.
Therefore, 5! (5 factorial) is equal to 120.
So, the correct answer is C. 120
To simplify 5!, we need to evaluate the factorial of 5, which is denoted as 5!.
Factorial is the product of a number and all the positive integers below it. So, 5! can be calculated as:
5! = 5 x 4 x 3 x 2 x 1
= 120
Therefore, the answer is C. 120.