Derivation of Zero Factorial is Equal to 1
The formula for calculating the factorial of any number is equal to the product of all the positive numbers less than or equal to a number.
Formula for n! = n × (n-1) × (n-2) × (n-3) × (n-4)…….. × 1
Above formula can also be written as n! = n × (n-1)!
For the value of 1! = 1 × (1-1)!
1! = 1 × 0!
The value of LHS should always be equal to the value of RHS
For LHS = RHS, a value of 0! must be equal to 1
Hence, 0! = 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