2011 NYJC P2 Q6

2011 NYJC P2 Q6

6 marks
Prelims

In each of the following cases, find the number of ways of forming a group of 10 people from 15 couples if each group contains

  1. exactly 5 couples,[1]
  2. no couples,[2]
  3. exactly 2 couples.[3]

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Answer:(i) \(3003\) (ii) \(3\,075\,072\) (iii) \(11\,531\,520\)

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