The conversation between human and AI assistant.
Why does 0! Equal 1?
I was wondering if you could explain to me why 0! equals 1.
Sure thing! The reason 0! equals 1 is because factorials are defined such that n! equals the product of all positive integers up to and including n. For example, 5! equals 5 x 4 x 3 x 2 x 1, which equals 120. But what happens when n equals 0? Well, there are no positive integers up to and including 0, so the product is defined to be 1 by convention.