What is 10 factorial ?

Steps to calculate factorial of 10

How to calculate the factorial of 10

To find 10 factorial, or 10!, simply use the formula that multiplies the number 10 by all positive whole numbers less than it.

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

  10! is exactly : 3628800

  Factorial of 10 can be calculated as:
10! = 10 x 9 x 8 x 7 x ... x 3 x 2 x 1

  The number of trailing zeros in 10! is 2

  The number of digits in 10 factorial is 7.

What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. In math concepts, factorial is a multiplication function of natural numbers .

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

Symbolically, it is represented as "!".

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

Factorial Formula

To find the factorial of any given number, substitute the value for n in the given equation :

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

The expansion of the formula shows the numbers to be replicated at the same time to receive the factorial of the number.

We can also determine a factorial from the prior one. The factorial of any number is that number times the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
10! Factorial = 10 x 9 x 8 x 7 x ... x 3 x 2 x 1 = 10 × 9! = 3628800

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 equal to 1. So, 0! = 1.

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