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Home » However, for exact boxed answer: \( \sqrt199 \) is simplest. - Dachbleche24

However, for exact boxed answer: \( \sqrt199 \) is simplest. - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \boxed{150}

📌 In a circular arrangement, 5 scientists and 4 engineers are seated around a table. If all scientists must sit together, in how many distinct ways can they be seated?

📌 First, treat the group of 5 scientists as a single "block." In a circular arrangement, the number of distinct ways to arrange \( n \) objects is \((n-1)!\). Here, we have the "block" of scientists and 4 engineers, making 5 objects in total:

📌 Within the "block," the 5 scientists can be arranged among themselves in:

📌 ways. Therefore, the total number of distinct arrangements is:

📌 4! \times 5! = 24 \times 120 = 2880

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