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(C) $1$. Identify the gender and status: $A$ and $D$ are ladies,unmarried,and not professors. $E$ is a husband,so $E$ is male. $B$ is the brother of $

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$C$

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(C) $1$. Identify the gender and status: $A$ and $D$ are ladies,unmarried,and not professors. $E$ is a husband,so $E$ is male. $B$ is the brother of $C$,so $B$ is male.$2$. Identify the married couple: Since $E$ is the husband and there is one married couple,his wife must be one of the ladies ($A, C,$ or $D$). However,$A$ and $D$ are unmarried. Thus,$C$ must be the wife of $E$.$3$. Determine the professors: There are three professors (Philosophy,Psychology,Economics). Since $A, D,$ and $C$ (the wife) are not professors (as $A$ and $D$ have no specialization and $C$ is the wife),the professors must be $B, E,$ and one other person. Wait,let's re-evaluate: $A, D$ are not professors. $B$ is not a psychologist or economist,so $B$ must be the Professor of Philosophy. $E$ is the husband,and $C$ is the wife. Since $B$ is the Professor of Philosophy,the remaining professors are Psychology and Economics. $C$ is not a professor. Therefore,$E$ must be one of the professors. Since $B$ is the Professor of Philosophy,and $B$ is not a psychologist or economist,$B$ is the Professor of Philosophy. Given $C$ is not a professor,and $A, D$ are not professors,the professors are $B, E,$ and one other. Actually,the group has $5$ people: $A, B, C, D, E$. If $A, D$ are not professors and $C$ is not a professor,then $B$ and $E$ are professors. But there are $3$ professors. Let's re-read: $A, D$ are ladies with no specialization. $B$ is not a psychologist or economist. $B$ is the Professor of Philosophy. $E$ is the husband. If $C$ is the wife,$C$ could be a professor. Since $B$ is Philosophy,and $B$ is not a psychologist or economist,$B$ is Philosophy. $C$ is the Professor of Psychology.

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