Let $A$ and $B$ be sets with $n$ and $m$ elements respectively ($m, n ∈ \mathbb N ^∗ )$. Determine the number of relations having the domain A and the codomain B
I was thinking about $|P(AXB)^{|AXB|}|$ so it will be $2^{(nm)^2}$
is this correct?
2026-03-30 05:15:30.1774847730
number of non-homogeneous relations
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The number of relations is |P(A×B)|.
If you require for all a in A, exists b in B with (a,b) in the relation, then the number is less.