At a banquet, 9 women and 6men are to be seated in a row of 15 chairs. If the entire seating arrangement is to be chosen at random, what is the probability that all of the men will be seated next to each other in 6consecutive positions?
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I know in this case, 6men are consider is 1, but don't know how to argue further.

15 choose 6 is the arrangement that men seat to each other consecutively

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