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Home » \binom61 \cdot \binom51 \cdot \binom41 = 6 \cdot 5 \cdot 4 = 120 - Dachbleche24

\binom61 \cdot \binom51 \cdot \binom41 = 6 \cdot 5 \cdot 4 = 120 - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Perhaps completes 720 refers to tracking accuracy or data points — but for math, we take it as literal: minute gear rotates 720 times in 24 hours.

📌 But then, if minute hand completes 720 rotations in 24 hours, it turns 30 times per hour.

📌 But a real minute hand turns once per hour — so this gear has 30 times the teeth ratio? No — speed ratio = teeth_ratio inversely.

📌 Let T_minute be teeth on minute gear = 72.

📌 Let T_hour be teeth on hour gear — unknown.

📌 Then speed ratio (minute:hour) = T_hour / T_minute.

📌 So rotations per hour:

📌 Minute hand: R_min = ω × (T_hour / T_minute)

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