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B Best fit curve associated with the combination formula

  1. Sep 22, 2016 #1
    Sorry if this is more of a HW question (if so then moderator please move my question. Thanks!)

    Hi, I'm trying to get an expression for a best fit curve of the combination formula (##_nC_r##).
    As far as I can tell, the curve is a simple parabolic curve, and its shape doesn't change. It's just scaled depending on ##n##.

    How might I get the continuous form of the discrete combination formula?
     
  2. jcsd
  3. Sep 22, 2016 #2

    mfb

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    2016 Award

    Staff: Mentor

    It is not a parabola.

    The generalization of factorials to the real numbers is the gamma function.
     
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