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Home » Disaster Film 2012 – The Movie That Survived Apocalypse… and Ruined Every Night! - 500apps

Disaster Film 2012 – The Movie That Survived Apocalypse… and Ruined Every Night! - 500apps

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 Now compute the number of ways for each case using combinations:

📌 $ \binom{8}{1} \binom{6}{1} \binom{4}{3} = 8 \cdot 6 \cdot 4 = 192 $

📌 $ \binom{8}{1} \binom{6}{2} \binom{4}{2} = 8 \cdot 15 \cdot 6 = 720 $

📌 $ \binom{8}{1} \binom{6}{3} \binom{4}{1} = 8 \cdot 20 \cdot 4 = 640 $

📌 $ \binom{8}{2} \binom{6}{1} \binom{4}{2} = 28 \cdot 6 \cdot 6 = 1008 $

📌 $ \binom{8}{2} \binom{6}{2} \binom{4}{1} = 28 \cdot 15 \cdot 4 = 1680 $

📌 $ \binom{8}{3} \binom{6}{1} \binom{4}{1} = 56 \cdot 6 \cdot 4 = 1344 $

📌 Add all these:

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