2013 JJC P2 Q8

2013 JJC P2 Q8

7 marks
Prelims

The layout of a minivan consisting of eight passenger seats is as shown below.

  1. To make the ride more comfortable, each of the eight passenger seats is to be attached with either a red cushion or a blue cushion. Find the number of ways this can be done if both colours are used.[2]

Four boys and three girls board the minivan and occupy the passenger seats. Find the number of possible seating arrangements

  1. if there are no restrictions,[1]
  2. if no two boys sit next to each other when they are on the same side.[4]

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Answer:(i) \(254\) (ii) \(40\,320\) (iii) \(5184\)

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