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Home » Die Festigkeitsbeschränkung ist \( 10x + 7y \geq 85 \). - Treasure Valley Movers

Die Festigkeitsbeschränkung ist \( 10x + 7y \geq 85 \). - Treasure Valley Movers

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 \binom{120}{5}

📌 Number of favorable outcomes (choosing exactly 2 from the first 30 and 3 from the remaining 90):

📌 \binom{30}{2} \cdot \binom{90}{3}

📌 So, the desired probability is:

📌 \frac{\binom{30}{2} \cdot \binom{90}{3}}{\binom{120}{5}}

📌 Compute values:

📌 \binom{30}{2} = \frac{30 \cdot 29}{2} = 435,\quad \binom{90}{3} = \frac{90 \cdot 89 \cdot 88}{6} = 117480,\quad \binom{120}{5} = \frac{120 \cdot 119 \cdot 118 \cdot 117 \cdot 116}{120} = 190578024

📌 \frac{435 \cdot 117480}{190578024} = \frac{51109800}{190578024} \approx 0.268

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