Exam-Style Problem

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Nov 2023 p53 q6
2767

Jai and his wife Kaz are having a party. Jai has invited five friends and each friend will bring his wife. At the beginning of the party, the 12 people will stand in a line for a photograph.

  1. How many different arrangements are there of the 12 people if Jai stands next to Kaz and each friend stands next to his own wife?
  2. How many different arrangements are there of the 12 people if Jai and Kaz occupy the two middle positions in the line, with Jai’s five friends on one side and the five wives of the friends on the other side?
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