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Home » \frac10!3! \cdot 2! \cdot 4! \cdot 1! - AMAZONAWS

\frac10!3! \cdot 2! \cdot 4! \cdot 1! - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
\frac{10!}{3! \cdot 2! \cdot 4! \cdot 1!}

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📌 Solution: Compute $ b_1 = 1 $. Then $ b_2 = 1 - \frac{1^5}{5} = \frac{4}{5} $. Next, $ b_3 = \frac{4}{5} - \frac{\left(\frac{4}{5}\right)^5}{5} = \frac{4}{5} - \frac{1024}{3125} = \frac{2500 - 1024}{3125} = \frac{1476}{3125} $. Simplify: $ \frac{1476}{3125} $ (already reduced). \boxed{\dfrac{1476}{3125}}
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