1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Stirling's formula probability

  1. Jan 22, 2009 #1
    Use Stirling's formula, n!=sqrt(2 pi n) n^n e^{-n}, to estimate the probability that all 50 states are represneted in a group of 50 councilmen chosen at random.

    I think it should be:

    [tex]P=\frac{50!}{50^{50}} [/tex]

    So using Stirling's formula, we get:

    [tex]P=\frac{\sqrt{2 \pi 50} 50^{50} e^{-50}}{50^{50}}[/tex]
    [tex]P=\sqrt{2 \pi 50} e^{-50}[/tex]

    is this the correct approach?
  2. jcsd
  3. Jan 23, 2009 #2
    Re: probability

    Presuming each councilman represents one of the 50 states, your work is correct!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Stirling's formula probability
  1. Stirling's formula (Replies: 1)