Exam-Style Problem

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June 2006 p6 q4
2878

The diagram shows the seating plan for passengers in a minibus, which has 17 seats arranged in 4 rows. The back row has 5 seats and the other 3 rows have 2 seats on each side. 11 passengers get on the minibus.

Of the 11 passengers, 5 are unmarried and the other 6 consist of 3 married couples.

In how many ways can 5 of the 11 passengers on the bus be chosen if there must be 2 married couples and 1 other person, who may or may not be married?

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