2013 MI P2 Q6

2013 MI P2 Q6

7 marks
Prelims

Six identical boxes are arranged in \(3\) rows as shown in the following diagram.

Sandra is given \(1\) green, \(2\) blue and \(3\) red balls. The balls are identical except for their colour. She is to put one ball in each box. Find the number of ways she can do this when

  1. there is no restriction,[2]
  2. the balls in the bottom row are of different colours,[2]
  3. there are at least \(2\) red balls in the bottom row.[3]

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Answer:(i) \(60\) (ii) \(18\) (iii) \(30\)

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