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anonymous

  • 5 years ago

how can 0!=1! ? doesn't it defy the fundamentals of mathematics?

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  1. mathteacher1729
    • 5 years ago
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    It's a definition. Everything else works if we define it to be so. :)

  2. mathteacher1729
    • 5 years ago
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    Also, there is only one way to re-arrange a set of zero objects.

  3. watchmath
    • 5 years ago
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    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.

  4. mathteacher1729
    • 5 years ago
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    Here is another nice answer: http://mathforum.org/library/drmath/view/57128.html

  5. anonymous
    • 5 years ago
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    that was quite enlightening! thank you both

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