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100! - 99!

  1. Oct 7, 2013 #1
    question: what is 100! - 99!

    I've broken it down to a problem like this: Let x=99! Then 100! = 100*99! = 100x. 100x - x=99x = 99*99!.

    I can't figure out a way to simplify the problem any more than that.

    Thank you in advance for any help.
     
  2. jcsd
  3. Oct 7, 2013 #2

    HallsofIvy

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    There is the obvious: 100!- 99!= 99!(100- 1)= 99!(99).
     
  4. Oct 7, 2013 #3

    phinds

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    you've got the right answer and I don't see how it COULD be simplified any further except by actually computing 99! which just seems like a waste of time.
     
  5. Oct 7, 2013 #4

    dextercioby

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  6. Oct 7, 2013 #5

    Borek

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  7. Oct 7, 2013 #6

    arildno

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    As is seen, "!" does not satisfy the distributive law for operations. :smile:
     
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