2015 NJC P2 Q7

2015 NJC P2 Q7

6 marks
Prelims

A box contains \(6\) orange, \(6\) red, \(6\) green, \(6\) blue and \(6\) yellow balls. Balls of the same colour are considered to be indistinguishable. Find the number of ways to select

  1. \(4\) distinct balls,[1]
  2. \(4\) balls, of which exactly \(3\) are identical,[2]
  3. \(4\) balls without any restriction.[3]

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Answer:(i) \(5\) (ii) \(20\) (iii) \(70\)

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