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Home » احسب الاحتمال: 17/25 = 0.68. - Midis

احسب الاحتمال: 17/25 = 0.68. - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 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.

📌 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

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