factorial

 

In mathematics, the factorial of a non-negative integer, $n$, denoted $n!$ is the product of all of the positive integers less than or equal to $n$. By convention $0! = 1$. More formally,
\begin{equation}
n! = \prod_{k=1}^{n}k
\end{equation}
The factorial function can also be defined recursively:
\begin{equation}
n! = \begin{cases}
1, & \text{if $n = 0$},\\
(n – 1)! * n & \text{if $n > 0$}
\end{cases}
\end{equation}

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