Q&A: Why is 0! = 1?

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David R. of Palo Alto writes:

Have you ever discussed factorials on your podcast? I don’t recall,
but a friend and I are puzzled and so of course we turn to you: Why
is “zero factorial” 1? Was it simply defined that way to frustrate
all of us nonmath folks, or is there a valid explanation?


Well, David, I think it’s fair to say it was made up, but for a very very good reason. Many formulas involving factorials are simply more un

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