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  • Four marricd couples are to be seated in a row having 8 chairs. The number of ways so that spouses are seated next to each other, isOption: 1 72<

Four marricd couples are to be seated in a row having 8 chairs. The number of ways so that spouses are seated next to each other, is

Option: 1

72


Option: 2

186


Option: 3

384


Option: 4

516


Answers (1)

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Let us denote the four married couples of \mathrm{C_{1},C_{2}, C_{3}} and \mathrm{C_{4}}. We consider each couple as one unit. We can permute four units in \mathrm{4!} ways. Each couple can be seated in 2 ! ways. Thus, the required number of ways is

\mathrm{\text { (4!) (2) (2) (2) (2) = } 384}.

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Pankaj

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