The correct answer is option A: The group that didn't invade the regions of western europe during the ninth and tenth centuries were the Persians.
Step-by-step explanation:
The Persian empire felt no need to conquer Europe because of geography and logistics. There were no reasons for them to conquer that enormous land, because there were no cities or much people to be conquered since most of Europe was desolate. It wasn't worth having under control. Moreover, almost 60 percent of the world's population lived in the Persian empire at that time.
Apart from that, the groups that invaded the regions of western europe during the ninth and tenth centuries were: the Vikings, Magyars and Muslims.