Why the value of 0!=1 ?
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Otherwise, 1! ≠1 which is a contradiction. So yes, 0! = 1 is correct because mathematicians agreed to define it that way (nothing more and nothing less) in order to be consistent with the rest of mathematics.
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The Definition of a Zero Factorial
This still counts as a way of arranging it, so by definition, a zero factorial is equal to one, just as 1! is equal to one because there is only a single possible arrangement of this data set.
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