How is Factorial Calculated?
Let us suppose we have to calculate the factorial of n, then the factorial of n is denoted by putting an exclamation mark after n i.e. n!
Value of n! = n × (n-1) × (n-2) × (n-3) × (n-4) × (n-5) …× 1
For example, If we have to calculate the value of 7!.
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1
7! = 5040
Another way of calculating factorial is by using the below formula for non-negative numbers. By taking 2 or three non-negative numbers, we can observe that the factorial of a number is calculated as,
n! = (n+1)!/(n+1)
Zero Factorial (0!)
The value of zero factorial is 1. Factorial of any number “n” is calculated by multiplying all the numbers between n and 1 (including n). So one might ask what is the value of zero factorial, the value of 0! factorial is 1 and this is calculated using various methods.
In this article we are going to learn about the definition of factorial, how factorial is calculated, the Derivation of 0! is equal to 1, Examples and FAQs related to Factorial, and others.
Table of Content
- Definition of Factorial
- How is Factorial Calculated?
- What is Factorial of 0?
- Derivation of Zero Factorial is Equal to 1
- Permutations and Factorials
- Factorial of Negative Number
- Operations On Factorial
- Sample Problems on Zero Factorial
- Practice Problems on Zero Factorial
- Zero Factorial – FAQs