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 $A \times B$ = $2^{4} = 16$.
Related questions
Odd man out: APPLE, MANGO, BANANA, POTATOIn a series 2, 3, 5, 7, 11, 13, ?, the next prime isIf A=1, B=2, C=3, ..., the value of PEN isOdd man out: 9, 16, 24, 36, 49, 64Find next: 1, 3, 6, 10, 15, ?Find next term: 8, 27, 64, 125, ?If the code for TEACHER is VGCEJGT, the code for STUDENT will beFind the missing term: 5, 9, 17, 33, 65, ?