Question

$A$ and $B$ are two sets having $3$ and $4$ elements respectively and having $2$ elements in common. The number of relations which can be defined from $A$ to $B$ is

• A. $2^5$
• B. $2^{10}-1$
• C. $2^{12}-1$
• D. $noneofthese$

Answer 1

The correct option is D $noneofthese$

`if $A$ and $B$ are two sets which contains 3 and 4 elements respectively.

Then no of elements in relation from $A$ to $B$ is $2^{(}3\times 4)$

means $2^{12}$