So, basically, factorial gives us the arrangements. Now, the question is why do we need to know the factorial of a negative number?, let's say -5. How can we imagine that there are -5 seats, and we …

Why is this? I know what a factorial is, so what does it actually mean to take the factorial of a complex number? Also, are those parts of the complex answer rational or irrational? Do complex factorials …

Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and …

Apr 21, 2015 · Factorial, but with addition [duplicate] Ask Question Asked 12 years, 1 month ago Modified 6 years, 5 months ago

Oct 19, 2016 · I'm curious, how is the factorial of a real number defined? Intuitively, it should be: x! = 0 x! = 0 if x ≤ 1 x ≤ 1 x! = ∞ x! = ∞ if x> 1 x> 1 Since it would be the product of all real numbers preceding …

Feb 6, 2021 · If you are starting from the "usual" definition of the factorial, in my opinion it is best to take the statement 0! = 1 0! = 1 as a part of the definition of the factorial function, as anything else would …

It is a valid question to extend the factorial, a function with natural numbers as argument, to larger domains, like real or complex numbers. The gamma function also showed up several times as …

However, there is a continuous variant of the factorial function called the Gamma function, for which you can take derivatives and evaluate the derivative at integer values.

I was playing with my calculator when I tried $1.5!$. It came out to be $1.32934038817$. Now my question is that isn't factorial for natural numbers only? Like $2!$ is $2\\times1$, but how do we e...

Jun 5, 2021 · To find the factorial of a number, n n, you need to multiply n n by every number that comes before it. For example, if n = 4 n = 4, then n! = 24 n! = 24 since 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24 4 3 2 1 = 24. …