🎯 Why 0! = 1 (zero factorial is one)?

Scalar Calculator - Why 0! = 1

Recently, I was thinking about various justifications for the definition of 0! (factorial of zero) which is


The assumed value of 1 may seem quite obvious if you consider the recursive formula. However, it did not satisfy me “mathematically”. That’s why I decided to write these few sentences. I will give motivations for the less advanced ones, but there will also be motivations for slightly more insiders.

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