It is extremely rare in EMUs
However, on first generation DMUs it was quite common, such that a depot would normally have several spare power cars whilst maintenance was taking place
For current DMUs this practice has pretty much been abandoned
Instead the unit normally remains out of service for maintenance
The most common result of split-paired sets is due to long-term unavailability of specific vehicles, so rather than both sitting out of use they are paired together temporarily
In the early days of sprinters it was found that three cars was often better than two
As a result these sets were split, but this resulted in an imbalance of toilets (as the set only had one previously)
Some of these sets were later rebalanced by inserting them into other sets, which worked as advantage as the 150/2 had through gangways, whilst the 150/1 did not
Finally, the Inverness based Class 156 units were to be used in three car formations, and always raised the question as to why at least six centre cars were not constructed, when ironically centre cars were constructed for the Class 158 units on TransPennine (but there were already going to be similar centre cars for the Class 159)