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Home » Detective Marciano: The Toughest Detective in Town—Guess His Secret Weapon! - Silent Sales Machine

Detective Marciano: The Toughest Detective in Town—Guess His Secret Weapon! - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Here, \( n = 9 \) (total items), with 4 identical items (the copies), and the remaining 5 are distinct. So, the number of distinct arrangements is:

📌 \frac{9!}{4!}

📌 Compute \( 9! \) and \( 4! \):

📌 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.

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