Option A and B are correct.
a. Some people in ancient Pompeii were quite rich and others were poor.
b. The people of ancient Pompeii spent a good deal of time outside.
Pompeii had both rich and poor people. The richest citizens were the Senatorial Elite. Pompeii was divided into three social classes: slaves, freedmen and freeborn.
Option C is not correct. Pompeii had public baths rather than private baths at homes.