Probability : Selection Without Replacement and Stirling's Formula

A box contains 3n red balls and 3n white balls. 2n balls are selected at random without replacement, express the probability p that the balls selected contain n red and n white. Use Stirling's formula to obtain the approximation p ~ root(3/(2*pi*n))

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Selection without replacement and stirling''s formula : Probability : Selection Without Replacement and Stirling's Formula, A box contains 3n red balls and 3n white balls. 2n balls are selected at random without replacement, express the probability p |

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