What is Factorial of 0?
The value of Zero factorial is equal to 1. Symbolically, it can be represented as 0! = 1. We can prove that the value of zero factorial is equal to 1 in different ways. As factorial is used to calculate the permutation and combination of any number, logically the meaning of zero factorial is to arrange data that contains no value. So, the way of arranging any data which contains no values is in only one way. So the value of 0! is equal to 1.
0! = 1
Explain Zero Factorial
The value of 0! factorial is equal to 1. Let’s see how we can derive it using the above formula for calculating factorial:
We can write, n! = (n+1)!/(n+1)
0! = (0 + 1)!/(0 + 1)
⇒ 0! = (1)!/(1)
⇒ 0! = 1/1
⇒ 0! = 1
Thus, the factorial of 0 is one.
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