2011 HCI P2 Q6

2011 HCI P2 Q6

5 marks
Prelims

A developer has recently completed a condominium project in HCI Valley. There are five blocks of building A, B, C, D and E as shown in the diagram below.

The developer has four colours available to paint the buildings. Each block can only be painted using a single colour. Find the number of ways to paint all the five blocks if

  1. there are no restrictions,[1]
  2. block A and block B cannot be painted with the same colour,[2]
  3. all four colours must be used.[2]

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