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\( t = 18 \) - ClickBalance

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Here, we have $ 5 + 3 = 8 $ distinguishable individuals.

📌 So, the number of distinct circular arrangements is:

📌 Thus, the number of distinct seating arrangements is:

📌 \boxed{5040}

📌 Question: A bag contains 5 red chips, 7 green chips, and 3 blue chips. If 4 chips are drawn without replacement, what is the probability that exactly 2 are green and 2 are red?

📌 Solution: This is a hypergeometric probability problem.

📌 Total chips: $ 5 + 7 + 3 = 15 $.

📌 We want the probability of drawing exactly 2 green and 2 red chips:

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