Jawaban:

a) Freddie has 6 toys cars and 3 toy buses, all different.

i)He chooses 4 toys to take on holiday with him. In how many different ways can Freddie choose 4 toys?

ii)Freddie arranges these 9 toys in a line. Find the number of possible arrangements

•if the buses are all next to each other.

•if there is a car at each end of the line and no buses are next to each other.

b) There are 2 purple cubes, 3 blue cubes, 2 red cubes, 4 orange cubes, 2 green cubes and 2 yellow cubes. Calculate the number of possible arrangements when all the cubes are arranged in a circle.