If $A = \{1, 2\}$ and $B = \{3, 4\}$, how many distinct **relations** can be defined from $A$ to $B$?
A$4$
B$16$
C$8$
D$32$
Answer & Solution
Correct answer: B. $16$
$n(A \times B) = 2 \cdot 2 = 4$. Number of relations = number of subsets of $A \times B$ = $2^{4} = 16$.
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