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 symbol. In Mathematics, factorial is a multiplication function of natural numbers .

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

Symbolically, it is represented as "!".

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

Factorial Formula

To find the factorial of any given number, replace the 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 together with each other to obtain the factorial of the number.

We can also work out a factorial from the previous one. The factorial of any number is that number replicated 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

1) Can we have factorials for negative numbers ?
  Negative number factorials are undefined

2) 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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