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Home » Subtracting consecutive equations eliminates $ d $: - Portal da AcÃºstica

Subtracting consecutive equations eliminates $ d $: - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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$ \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:
+ 720 + 640 + 1008 + 1680 + 1344 = \boxed{5584}
Final Answer:** $ \boxed{5584} $
Question:** A fair 6-sided die is rolled 4 times. What is the probabil...
We are rolling a 6-sided die 4 times and want the number of integer so...
x_1 + x_2 + x_3 + x_4 = 14, \quad \text{where } 1 \leq x_i \leq 6
Let $ y_i = x_i - 1 $, so $ 0 \leq y_i \leq 5 $, and the equation beco...

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