anonymous
  • anonymous
how can 0!=1! ? doesn't it defy the fundamentals of mathematics?
Mathematics
jamiebookeater
  • jamiebookeater
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mathteacher1729
  • mathteacher1729
It's a definition. Everything else works if we define it to be so. :)
mathteacher1729
  • mathteacher1729
Also, there is only one way to re-arrange a set of zero objects.
watchmath
  • watchmath
First of all n! is define as the product of the first n natural numbers. Since 0 is not a natural number, we can't use that definition. Then it is up to use to give a meaning to 0!. Then if we define 0!=1 everything works nicely.

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mathteacher1729
  • mathteacher1729
Here is another nice answer: http://mathforum.org/library/drmath/view/57128.html
anonymous
  • anonymous
that was quite enlightening! thank you both

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