OK so it isn't strictly (but it could be!) maths, but this seems to be
the place for curious puzzles.

It might help to place five coins (three of one type, two of
another) in a line on the table.

Can you rearrange the following:

Code:
xoxox
to
Code:
xxxoo
subject to the following rules:

1) You must move two adjacent red and black coins each time.
2) Each move must 'jump' at least one other adjacent
coin (i.e. you are not allowed to 'jump' spaces).

This can be done in five moves - persistence will pay off