Can the value of $(-9!)$ be found I saw this question on an fb page and I couldn't solve it.
Question:
What is the value of $(-9!)$?
a)$362800$
b)$-362800$
c) Can not be calculated
The first options seems to be incorrect,which leaves $c$ but I can't justify it.Does it have something to do with gamma function which asks for$\int _{ 0 }^{ \infty  }{ { x }^{ -10 } } { e }^{ -x }dx$. Why can't it be calculated?
Update:
I have been given answers that "using the Gamma function, it can't be evaluated". Isn't there some other way to do so?

We have the following property: $n!=\dfrac{(n+1)!}{n+1}$ . Hence, $0!=\dfrac{1!}1=1;~(-1)!=\dfrac{0!}{0_\pm}=\pm\infty$, etc.
