• (a) Sameer has 5 rooms in his apartment, and has bought 3 different colour paints in order to decorate. He will only use one colour per room. In how many ways can he select the colours and paint each room in his house?
• (b) Lynn is painting his house, which has 7 different rooms. He has bought 5 different colours of paint he could use to paint each room in his house. Lynn wants to only use one colour per room, and wants to use exactly 2 paint colours overall. In how many ways can Lynn paint the rooms in his house?