Astudent gets a cut on his hand. within a week, the cut has healed and there is little evidence of the original injury. what can we assume about the cells surrounding the cut?

Okay,
the key phrase here is "cells surrounding the cut".

Since technically these cells aren't damaged by the said cut the answer is mitosis has occurred, where healthy eukaryotic cells divide to form new cells. 

If these were the missing choices:
-Mitosis has occurred, where healthy eukaryotic cells divide to form new cells.
-Binary fission has occurred, allowing the injured prokaryotic cells to repair and grow.
-The remaining cells grew and reproduced asexually through binary fission.
-The injured eukaryotic cells healed, repaired, and grew through mitosis.

My answer is:
-Mitosis has occurred, where healthy eukaryotic cells divide to form new cells. 

Mitosis is defined as type of cell division that results in two daughter cells each having the same number and kind of chromosomes as the parent nucleus. 

Through mitosis, tissues will be produced and grow to cover the wounded area until no sign of injury can be seen.