The term 'cast in a certain role' can be summarized as assigning someone to a specific job or task. The crossword solution for this term is 'STEREOTYPE, ' which refers to a fixed and oversimplified image or idea of a particular type of person or thing. Stereotypes are often based on oversimplified assumptions and can be used to categorize people into groups. Stereotypes can be both positive and negative, but they can also be damaging and lead to discrimination.