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  4. If n(A) = 2 and total number of possible relations from Set A to set B is 1024, then n(B) is

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Q. If $n(A) = 2$ and total number of possible relations from Set $A$ to set $B$ is $1024$, then $n(B)$ is

KCETKCET 2020

Solution:

$n(A)=2$
Given, $2^{(n(A) \cdot n(B))}=1024$
$\Rightarrow (2)^{(2 \cdot n(B))}=(2)^{10}$
$\Rightarrow 2 \cdot n(B)=10$
$\Rightarrow n(B)=5$