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Factorial

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example:

 5! = 1 * 2 * 3 * 4 * 5
    = 120

We can easily calculate a factorial from the previous one:

Factorial Chart

So, the rule is:

n! = n × (n−1)!

The value of 0! is 1, according to the convention for an empty product.

Factorials are used in many areas of mathematics, but particularly in Combinations and Permutations.

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