Futurama Theorem/Historical Note

Historical Note on Futurama Theorem
This theorem was developed and proved by American comedian for an episode of the television show  titled .

In the episode, there exists a device which can switch any two peoples minds.

However, it is discovered that no two bodies can be switched more than once.

The question is asked:
 * Once a switch has happened, can all the minds be returned to their proper bodies?

In the episode, it is claimed that no matter how permuted a group becomes, all minds can be returned to their proper bodies with at most two additional individuals.