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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:
- 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 $.
