The conversation between human and AI assistant.
Why and how is 0! =1?
But why is that the case mathematically?
Mathematically speaking, there are different ways to approach this problem. One way is to use the gamma function, which is an extension of the factorial function that can be used for non-integer inputs. Another way is to use combinatorics and consider the number of ways of choosing 0 elements from a set of 0 elements, which is 1.