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Home » \frac8!2! = \frac403202 = 20160 - Ready Digital AB

\frac8!2! = \frac403202 = 20160 - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 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:

📌 P = \frac{\binom{7}{2} \cdot \binom{5}{2}}{\binom{15}{4}}

📌 $ \binom{7}{2} = \frac{7 \cdot 6}{2} = 21 $

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