Zero Factorial?

Why does 0! = 1?

0! = 1 is a definition so that

Screen Shot 2016-07-08 at 11.16.56 AM.png

holds true for n = k. From the “Fundamental Principle of Counting” we know thatScreen Shot 2016-07-08 at 11.18.01 AM.png is n!

As,

Screen Shot 2016-07-08 at 11.18.29 AM.png

0! must equal 1 so that:

Screen Shot 2016-07-08 at 11.18.55 AM.png

Although there is no proof, this video helps to understand why 0! = 1.

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