SOLUTION: Four married couples have bought eight seats in a row for a basketball game. In how many ways can they be seated if each couple is to sit together?

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Question 1009027: Four married couples have bought eight seats in a row for a basketball game. In how many ways can they be seated if each couple is to sit together?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Four married couples have bought eight seats in a row for a 
basketball game. In how many ways can they be seated if each 
couple is to sit together?

The order of the couples can be chosen in 4! = 24 ways.

For each order of the couples there are two ways each can sit,
(husband left, wife right) or (wife left, husband right).
That's (2)(2)(2)(2) = 24 = 16 ways

Answer (4!)(24) = (24)(16) = 384 ways.

Edwin
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