What happens if/when most or all of the population is impure? What happens if/when a minority of the community is impure? (Think Pesach Sheni). What if the people are pure, but the kohanim impure, or vice versa, or the vessels are impure? The offering stands. What is the knife is impure? With tumah that will render the person who wields it impure? Or tumah that will only render that which it cuts impure? Also: What if the population is exactly 50% pure and 50% impure? Are the both the majority? Or neither? (2 versions) And how do the cases line up with the sages' views? Plus, what about the women and their status of purity or impurity? How did their status contribute to the sum total of the people as a whole?