Question

How do you find the zero factorial?

Answer 1

Finding the zero factorial:

Mathematically,$0!=1.$

As per the definition of factorial: $\mathit{n}\mathbf{!}\mathbf{}\mathbf{=}\mathbf{}\mathit{n}\mathbf{(}\mathit{n}\mathbf{-}\mathbf{1}\mathbf{)}\mathbf{(}\mathit{n}\mathbf{-}\mathbf{2}\mathbf{)}\mathbf{(}\mathit{n}\mathbf{-}\mathbf{3}\mathbf{)}\mathbf{\dots }\mathbf{.}\mathbf{3}\mathbf{.}\mathbf{2}\mathbf{.}\mathbf{1}$

or $x!=x(x-1)!$

or $(x–1)!=x!/x$

For $0!$

Put $x=1$

$$\begin{gathered} (1–1)!=1!/1 \\ 0!=1!=1 \end{gathered}$$

Hence, the value of zero factorial is $1$