The players can use their discretion in finishing the tasks.
Is this correct usage? Is the sentence correct grammatically?
Following is the definition, which I based my sentence
Discretion - The freedom to decide what should be done in a particular situation.
The sentence is correct grammatically.
A really careful writer would note, however, that the sentence is potentially ambiguous because "discretion" is singular whereas the subject is plural as are the tasks. Do you mean
The players jointly have discretion on how best to finish the tasks
or
Each player has discretion on how best to finish that player's tasks.
Either meaning is possible in your proposed sentence. Of course, which meaning is intended may be perfectly clear in context.
