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# Set Of Maps And Set Of Relations

TOPO-EGYPXZ

Let $X$, $Y$ and $Z$ be sets. Which of the following statements are ALWAYS true?

A

There is a bijection from the set of relations between $X\times Y$ and $Z$ to the set of relations between $X$ and $Y\times Z$.

B

There is a bijection from the set of maps from $X\times Y$ to $Z$ to the set of functions from $X$ to $Y\times Z$.

C

There is a bijection from the set of relations between $X\times Y$ and $Z$ to the set of relations between $X$ and the set of relations between $Y$ and $Z$.

D

There is a bijection from the set of maps from $X\times Y$ to $Z$ to the set of maps from $X$ to the set of maps from $Y$ to $Z$.