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Home » Shocking Firework Recipe That Explodes with Color and Light! - 500apps

Shocking Firework Recipe That Explodes with Color and Light! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 5Question: A bioinformatician is aligning sequences from three different species, each contributing exactly 3 unique genetic markers. If the markers within each species are indistinguishable, but markers from different species are distinguishable, how many distinct sequences can be formed by arranging all 9 markers in a line?

📌 Solution: We are arranging 9 genetic markers in a line, where there are 3 indistinguishable markers from species A, 3 from species B, and 3 from species C. Since markers from the same species are indistinguishable, the number of distinct arrangements is given by the multinomial coefficient:

📌 rac{9!}{3! \cdot 3! \cdot 3!} = rac{362880}{6 \cdot 6 \cdot 6} = rac{362880}{216} = 1680

📌 Thus, the number of distinct sequences is $oxed{1680}$.

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