Imagine you have six different colours of paint. You paint a cube
using a different colour for each of the six faces. How many
different cubes can be painted using the same set of six colours?
Take the numbers 1, 2, 3, 4 and 5 and imagine them written down in
every possible order to give 5 digit numbers. Find the sum of the
How many tricolour flags are possible with 5 available colours such
that two adjacent stripes must NOT be the same colour. What about
How many times can each number appear in each column when you
have written all combinations of the digits down?