Combinatorial Seating Probabilities for Couples

Combinatorial Seating Probabilities for Couples

The passenger compartment of a train has 2 rows of 3 seats each. The 2 rows are facing each other, as shown by the diagram below.

3 married couples enter the compartment and sit randomly. Find the number of seating arrangements in which

  1. each man sits opposite and facing his wife,
  2. no man sits on the same row as his wife.

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Answer:(i) \(48\) (ii) \(288\)

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