John, 

Without the full context/example, can only give a general answer.

If in the context of this lesson specifically, the answer expected will be limited to the subject matter.

The 2 words also have different meaning - ‘personne’ would indicate no-one at all, not a single person whether from the group in question or not, whereas ‘aucune’ would limit it to ‘none of something ’, and the ‘of something’  would be mentioned or known from the context eg a group of people previously identified.