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Home » \(a = 6 \text meters\) - SUpost

\(a = 6 \text meters\) - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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📌 A group of 8 historians and 2 archivists are to be seated around a circular table. How many distinct seating arrangements are possible if the 2 archivists must sit next to each other?

📌 Consider the 2 archivists as a single block. This transforms the problem into arranging 9 units around the table (8 historians + 1 archivist block).

📌 Thus, the total number of distinct seating arrangements is:

📌 A team of 3 historians and 5 engineers is tasked with organizing seating for a round conference table. If the 3 historians must sit consecutively, in how many ways can they be seated?

📌 Consider the 3 historians as a single block. This reduces the problem to arranging 6 units around the table: the block of historians and the 5 engineers.

📌 Thus, the total number of seating arrangements is:

📌 In a virtual exhibit, a museum curator wants to display 4 paintings and 2 sculptures. If the paintings must always be grouped together, how many ways can the items be arranged in a line?

📌 Consider the 4 paintings as a single super item. This transforms the problem into arranging 3 items: the super item and the 2 sculptures.

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