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
resulting numbers.

Flagging

Age 11 to 14 Challenge Level:

How many tricolour flags are possible with 5 available colours
such that two adjacent stripes must NOT be the same colour. What
about 256 colours?