Student or Learner
- It's no use someone doing something.
- It's no use someone's doing something.
Does either sound more formal than the other?
Discussions on this could go on for a long time. Some regard only the form with 's as correct; some regard it as the more formal of two correct forms; some say there is a difference in usage; and some feel that it is old-fashioned.
I tend to use 's myself, but the form without is more common.
The same would be true of me/my, you/your/etc