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?
Six points are arranged in space so that no three are collinear.
How many line segments can be formed by joining the points in
Given a 2 by 2 by 2 skeletal cube with one route `down' the cube.
How many routes are there from A to B?
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.
Hint: there is a short way to do this.
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