# Switching Numbers: infinite ordered series with two elements in the wrong order

#### wonnacott

##### New member
You are given an infinite ordered series with two elements in the wrong order (e.g. B, A, C, D, E, F, G, ....).

A switch is the rotation of three elements in the series (i.e. B, A, C can become A, C, B or C, B, A but cannot become A, B, C or B, C, A)

Show a sequence of switches that results in a perfectly ordered series

OR

Prove that such a sequence does not exist

Last edited: