Most of the time, people is the correct word to choose as a plural for person. Persons is archaic, and it is safe to avoid using it, except in legal writing, which has its own traditional language. Peoples is only necessary when you refer to distinct ethnic groups (for example, within the same region).

In most situations, people is the accepted plural form of person. However, persons is correct when referring to a specific number of individuals. For example, the elevator can hold up to ten persons. Peoples has a more limited use because it refers to multiple groups of people.

Peoples is the plural for people when you are speaking of multiple groups of ethnically diverse people. People’s is the singular possessive form of people. Peoples’ is the plural possessive form of People. Peoples or People’s or Peoples’ are all pronounced the same way. Because “Peoples” is usually singular, people’s’ is usually correct.