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Home » Set $ u^3 - 5u^2 + 6u = 0 $. Factor: - High Altitude Science

Set $ u^3 - 5u^2 + 6u = 0 $. Factor: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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\frac{10!}{4! \cdot 5! \cdot 1!}
10! = 3628800,\quad 4! = 24,\quad 5! = 120,\quad 1! = 1
\frac{3628800}{24 \cdot 120 \cdot 1} = \frac{3628800}{2880} = 1260
Thus, the number of unique activation sequences is $\boxed{1260}$.
\boxed{1260}
Question: A startup uses a rotation-based irrigation system activated...
Solution: We seek the number of distinct permutations of a multiset: 1...
\frac{10!}{5! \cdot 3! \cdot 2!}
Compute:
10! = 3628800,\quad 5! = 120,\quad 3! = 6,\quad 2! = 2

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