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.(adsbygoogle = window.adsbygoogle || []).push({});

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?

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# Homework Help: Stirling's formula probability

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