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Home » Alternatively: number of ways to partition 4 labeled items into two unlabeled pairs: - AMAZONAWS

Alternatively: number of ways to partition 4 labeled items into two unlabeled pairs: - AMAZONAWS

📅 March 11, 2026 👤 scraface

Mar 11, 2026

Alternatively: number of ways to partition 4 labeled items into two unlabeled pairs:

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📌 P = \frac{\binom{6}{2} \times \binom{9}{2}}{\binom{15}{4}} = \frac{15 \times 36}{1365} = \frac{540}{1365} = \frac{36}{91}

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📌 Better: solve $ 64 \times (1.125)^t > 95 $ → $ t = \log_{1.125}(95/64) \approx \log(1.484375)/\log(1.125) \approx 0.17116 / 0.051161 \approx 3.348 $

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