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Home » Total time: \( \fracd60 + \fracd90 = 5 \). - go-checkin.com

Total time: \( \fracd60 + \fracd90 = 5 \). - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 9! = 362880, \quad 4! = 24

📌 \frac{362880}{24} = 15120

📌 Therefore, the number of distinct ways to arrange the documents is \(\boxed{15120}\).

📌 Question:** An interdisciplinary team is selecting 3 researchers from a pool of 8 seismologists and 6 historians to form a collaborative task force. If the team must include at least one expert from each discipline, how many valid teams can be formed?

📌 We need to count the number of ways to choose 3 researchers from 8 seismologists and 6 historians such that at least one is a seismologist and at least one is a historian.

📌 Total ways to choose 3 researchers from 14 (8 + 6) without restriction:

📌 \binom{14}{3} = \frac{14 \times 13 \times 12}{3 \times 2 \times 1} = 364

📌 Now subtract the invalid teams:

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