SOLUTION: m men and n women are seated at random in a row on m + n chairs. What is the probability that all the men sit next to each other?

Question 585015: m men and n women are seated at random in a row on m + n chairs.
What is the probability that all the men sit next to each other?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
m men and n women are seated at random in a row on m + n chairs.
What is the probability that all the men sit next to each other?
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Procedure: Try this with small numbers.
Ex: 3men and 2 women : ways to succeed 3
Ex: 2men and 3 women : ways to succeed 4
Number of ways to succeed with m men and n women: n+1
P(all men sit next to each other) = (n+1)/(m+n)
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Cheers,
Stan H.
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