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Home » Factor out 9 from \( x \)-terms: - Treasure Valley Movers

Factor out 9 from \( x \)-terms: - Treasure Valley Movers

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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🔥 Popular Posts

y_1 + y_2 + y_3 + y_4 = 6 - 4 = 2
Number of non-negative integer solutions to this equation is:
\binom{2 + 4 - 1}{4 - 1} = \binom{5}{3} = 10
Hence, the number of valid installation configurations is $ \boxed{10}...
Question: A deep-sea researcher collects 9 extremophile microorganisms...
Solution: We are arranging 9 organisms where there are repeated types:...
\frac{9!}{4! \cdot 3! \cdot 2!}
9! = 362880,\quad 4! = 24,\quad 3! = 6,\quad 2! = 2
\frac{362880}{24 \cdot 6 \cdot 2} = \frac{362880}{288} = 1260
Thus, the number of distinct sequencing orders is $ \boxed{1260} $.

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