Question 1105438
a) 7! = 5040, since all the chairs are numbered
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Note if the chairs are not numbered, then the answer is (7-1)! = 720
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b) the 4 men in one group can be arranged in 4! = 24 ways
the one group of 4 men and the 3 women can be arranged in 3+1 = 4! = 24 ways
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Note it is 3+1 because the chairs are numbered
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therefore,
if all 4 men sit together, there are 4! * 4! = 24^2 = 576 ways 
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