Question

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

• A. 512
• B. 20
• C. 10
• D. 5

Answer 1

Answer: (D)

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