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Home » You Won’t Believe These Penn State Football Forum Secrets Revealed! - AssociationVoting

You Won’t Believe These Penn State Football Forum Secrets Revealed! - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 $ \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:

📌 + 720 + 640 + 1008 + 1680 + 1344 = \boxed{5584}

📌 Final Answer:** $ \boxed{5584} $

📌 Question:** A fair 6-sided die is rolled 4 times. What is the probability that the sum of the rolls is exactly 14?

📌 We are rolling a 6-sided die 4 times and want the number of integer solutions to:

📌 x_1 + x_2 + x_3 + x_4 = 14, \quad \text{where } 1 \leq x_i \leq 6

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