What is 11 factorial ?

Steps to calculate factorial of 11

How to calculate the factorial of 11

To find 11 factorial, or 11!, simply use the formula that multiplies the number 11 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Eleven :

  11! is exactly : 39916800

  Factorial of 11 can be calculated as:
11! = 11 x 10 x 9 x 8 x ... x 3 x 2 x 1

  The number of trailing zeros in 11! is 2

  The number of digits in 11 factorial is 8.

What Is Factorial?

A factorial is showed by an integer and an exclamation symbol. In math concepts, factorial is a multiplication operation of natural numbers .

It multiplies the number by every organic number that is less than it .

Symbolically, it is symbolized as "!".

The function is used, among other things, to get the "n" way objects can be structured .

Factorial Formula

To find the factorial of any given number, replace the exact value for n in the given formula :

n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1

The expansion of the formula gives the numbers to be replicated together to have the factorial of the number.

We can also determine a factorial from the prior 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 :
11! Factorial = 11 x 10 x 9 x 8 x ... x 3 x 2 x 1 = 11 × 10! = 39916800

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 number factorials are undefined

What Is 0!

 Zero factorial or Factorial of 0 is simple, and its value is corresponding to 1. So, 0! = 1.

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