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Home » N \equiv 4 \pmod7 - Abbey Badges

N \equiv 4 \pmod7 - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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rac{9!}{3! \cdot 3! \cdot 3!} = rac{362880}{6 \cdot 6 \cdot 6} = rac...
Thus, the number of distinct sequences is $oxed{1680}$.
Question: A meteorologist is analyzing storm patterns over a 7-day per...
Solution: We are assigning weather types to 7 days such that 3 are rai...
rac{7!}{3! \cdot 2! \cdot 2!} = rac{5040}{6 \cdot 2 \cdot 2} = rac{5...
Therefore, the number of possible weather sequences is $oxed{210}$.
Question: A science communicator is creating a 6-part video series on...
Solution: We are arranging 6 video episodes where there are 2 identica...
rac{6!}{2! \cdot 2! \cdot 2!} = rac{720}{2 \cdot 2 \cdot 2} = rac{72...
Hence, the number of distinct release orders is $oxed{90}$.

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