SOLUTION: A group consisting of 5 women and 4 men are placed at random in 9 chairs in a row. What is the probability that the result is an alternate seating arrangement
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Question 577308: A group consisting of 5 women and 4 men are placed at random in 9 chairs in a row. What is the probability that the result is an alternate seating arrangement Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A group consisting of 5 women and 4 men are placed at random in 9 chairs in a row. What is the probability that the result is an alternate seating arrangement
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Ways to place the 4 men in alternate seats: 4! ways
Ways to place the 5 women in alternate seats: 5! ways
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# of randome ways to arrange the 9 people: 9!
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Probability of alternate seating: (4!*5!)/9! = 0.0079
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Cheers,
Stan H.
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