SOLUTION: Five men and their five wives were invited to a graduation ceremony for high school students in the village where they live. In how many different ways can they sit on 10 chairs, i

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Question 1104498: Five men and their five wives were invited to a graduation ceremony for high school students in the village where they live. In how many different ways can they sit on 10 chairs, in a straight line, so that the men sit next to each other, and the wives sit next to each other?
Answer by 41 years(2) About Me  (Show Source):
You can put this solution on YOUR website!
5 factorial times 5 factorial times 2

m1m2m3m4m5w1w2w3w4w5
seat men on left end and women on right or vice VERSA ( this is why we multiply by 2 ie wm or mw)
now 5! ways to arrange men and 5! ways to arrange women
therefore
2*5!*5!