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Home » Lowest power of 3: \( 3^1 \) - Groen Casting

Lowest power of 3: \( 3^1 \) - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question: A seismologist records 7 earthquakes, 3 of which are magnitude 7.5 and 4 are magnitude 6.8. How many distinct sequences can the seismologist observe?

📌 Solution: The problem involves arranging 7 earthquakes where 3 are identical (magnitude 7.5) and 4 are identical (magnitude 6.8). The number of distinct sequences is the multinomial coefficient:

📌 \frac{7!}{3! \cdot 4!} = \frac{5040}{6 \cdot 24} = 35.

📌 The final answer is $\boxed{35}$.

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