# SOLUTION: There are 7 peole assigned in a queue. 5 men and 2 women. what is the probability that the 2 woman sit next to one another?

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 Question 333324: There are 7 peole assigned in a queue. 5 men and 2 women. what is the probability that the 2 woman sit next to one another?Answer by galactus(183)   (Show Source): You can put this solution on YOUR website!There are 7 people altogether, so they can be arranged in 7!=5040 ways. Now, to find how many arrangments have the women next to each other, tie the women together and pretend they are one person. Now, we have 6 'people' that can be arranged in 6!=720 ways. But the two women can be arranged in 2 ways. So, the total arrangements with the women next to each other is 2*720=1440 Thus, the probability is 1440/5040=2/7