Why is the factorial of 0 equal to 1?

Question

Wouldn’t this also mean that 1!=0!, why is this true?

In: 383

Answer 1

Because 1 is the neutral element of multiplication.

Which number do you need to add to something so that it’s like not adding anything? That’s 0.

Which number do you need to multiply with something do that it’s like not multiplying anything? That’s 1.

0! represents no multiplying anything.