Definition of Factorial
Factorial of any number is calculated by finding the product of n and all numbers less than n, till it reaches 1. Another definition of factorial can be defined as the factorial of a whole number is the function that multiplies the number by every natural number less than it. The factorial of any number is represented by denoting an exclamation mark after it, symbolically it is written as n!. Factorials are used to calculate permutation and combination.
Factorial of a number can be calculated in several ways. For example, if we have to calculate the factorial of 5, then it can be represented s 5! = 5 × 4 × 3 × 2 × 1 = 120. So, the value of 5! = 120.
Factorial of a Number Formulas
Below are the different formulas for calculating the factorial of a number
- n! = 1 × 2 × 3 × 4 × 5…………. × n
- n! = n × (n-1) × (n-2) × (n-3) × (n-4)………… × 1
- n! = n × (n-1)!
- n! = (n+1)!/(n+1)
- 1! = 1
- 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