2014 HCI P2 Q5 [Modified]

2014 HCI P2 Q5 [Modified]

5 marks
Prelims
  1. A group of \(5\) boys and \(5\) girls are to be seated in a row of \(10\) adjacent seats to watch a performance. Find the number of possible seating arrangements if not all the girls are seated together.[2]
  2. After the performance, the group books a round table with \(10\) identical seats at a restaurant for dinner. Given that \(2\) particular girls are seated directly opposite each other, find the number of arrangements where exactly \(4\) boys are seated together at the round table during dinner.[3]

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Answer:\(3542400\); \(5760\)

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