In a club, there are five entertainers: A, B, C, D, and E. There is a card…

In relationship-and-role puzzles like this, first fence off who is even eligible to hold each role or relationship using the flat exclusion clues (for example, 'A and D hold no role' and 'A and D are unmarried'), then resolve gender and the marriage pairing by direct elimination among the few candidates left — each fact removes exactly one possibility until a single candidate remains for every unknown.

1. Only three roles — card player, magician, and joker — exist for the five entertainers. A and D are stated to hold none of the three roles, so the three roles must be split among B, C, and E only, one role each.

2. B is neither a magician nor a joker, so by elimination B is the card player.

3. B is described as C's brother, which fixes B as male.

4. Exactly one married couple exists in the club, and E is the husband in it. A and D are already unmarried, so E's wife must be B or C. Since B is male, E's wife cannot be B — so C is E's wife, and therefore C is female.

5. None of the women hold the card-player or joker role. Since C is female, of the two roles left for C and E (magician and joker), C cannot be the joker — so C is the magician, and E is the joker.

Checking the final assignment against every original clue confirms the deduction:

Every clue is satisfied only when C is female and married to E — so C is E's wife.