How to use this for sequence of events.?

I have data for sequence of events and that maps to one class.. So for example my data will look like

X['Event1', 'Event2', 'Event3']   ---> Y[C1]
X['Event2', 'Event1', 'Event5', 'Event2', 'Event1', 'Event5']  ---> Y[C2]
..

Also is there any possibility to extend this for regression over sequences.? Like instead of Y as classes, it can be a regression too!