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A Game of Numbers


Starlord

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The observable Universe has about 10^12 galaxies, each containing a total of approximately 10^12 stars. Use Stirling's approximation for n! to estimate the number of ways those 10^24 stars could be apportioned into 10^12 galaxies of 10^12 stars each. Leaving this estimate as a logarithm is acceptable. Use the properties of logarithms, the approximations ln 10 ≃ 2.3, ln 2 ≃ 0.7, and Cn , r = n ! /(n−r! r!) .

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