# statistics

posted by matt

A group meeting is attended by 16 delegates.

(a)If a 6-person negotiation panel is selected at random from the 16 delegates, what is the probability the negotiation panel consists of 3 delegates from Atlantis and 3 delegates from Zedonia?

1. MathMate

Among the 16, how many are from Atlantis and how many are from Zedonia?

2. matt

11 are from Atlantis and 5 are from Zedonia

3. MathMate

Number of ways to choose 3 from each would be:
n=11!/(8!3!) * 5!/(2!3!)
out of total number of ways
N=16!/(6!10!)
Probability: n/N = 75/364

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