How to calculate the factorial of 9
To find 9 factorial, or 9!, simply use the formula that multiplies the number 9 by all positive whole numbers less than it.
Let's look at how to calculate the Factorial of Nine :
9! is exactly : 362880
Factorial of 9 can be calculated as:
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
The number of trailing zeros in 9! is 1
The number of digits in 9 factorial is 6.
Factorials of Numbers similar to 9
What Is Factorial?
A factorial is represented by an integer and an exclamation mark. In arithmetic, factorial is a multiplication procedure of natural numbers .
It multiplies the number by every organic number that is less than it .
Symbolically, it is showed as "!".
The function is used, among other things, to find the "n" way pieces can be established .
Factorial Formula
To find the factorial of any given number, replace the exact value for n in the given solution :
n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1
The expansion of the formula shows the numbers to be multiplied to each other to get the factorial of the number.
We can also measure a factorial from the previous one. The factorial of any number is that number multiplied the factorial of (that number minus 1).
So the rule is : n! = n × (n−1)!
Example :
9! Factorial =
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 =
9 × 8! =
362880
What are Factorials Used For?
The best use of factorial is in Combinations and Permutations.
Example : Determine how to arrange letters without repeating?
There one way for 1 letter "a":
2 ways for two letters "ab": ab, ba.
There are 6 ways for 3 letters "abc": abc acb cab bac bca.
There are 24 ways for 1234 of the letters "abcd"
Frequently Asked Questions on Factorial
Can we have factorials for negative numbers ?
Negative integer factorials are undefined
What Is 0!
Zero factorial or Factorial of 0 is simple, and its value is corresponding to 1. So, 0! = 1.