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factorial

Introduction The factorial function n!:n!: \mathbb{N} \rightarrow \mathbb{N} describes the amount of ways one can arrange nn differentiable objects. In practice:

0!=1n!=(n1)!×n\begin{aligned}0! = 1 \\n! = (n - 1)! \times n\end{aligned}

is a recursive definition of the factorial.