We have ___ for each member.

The correct choice, "pseudonym," is the accurate spelling of the term that refers to a fictitious name used by an author or individual instead of their real name. This word is derived from Greek origins, where "pseudo" means false and "onym" means name. In literature and other contexts, pseudonyms are often employed for various reasons, including privacy, branding, or artistic expression.

The other options presented contain spelling errors. "Psudonym," "psuedonym," and "pseudonim" do not reflect the correct formation of the word as established in the English language. The correct usage ensures clarity and precision in communication, particularly in contexts related to authorship, which enhances the understanding of the term for those learning English or engaging with literary discussions.