Question

Let $A=\left\{x,y,z\right\}$ and $B=\left\{1,2\right\}$. The number relations from A to B is

• A. 64
• B. 32
• C. 16
• D. 28

Answer 1

The correct option is A 64

$\Rightarrow$ $A=\{X,Y,Z\}$ and $B=\{1,2\}$ [ Given ]

$\Rightarrow$ Number of relation from $A$ to $B$ $=2^{NumberofelementsinA\times B}$

$=2^{n\left(A\right)\times n\left(B\right)}$

$\Rightarrow$ Number of elements in set $A=3$

$\Rightarrow$ Number of elements in set $B=2$

$\Rightarrow$ Number of relation from $A$ to $B$ $=2^{n\left(A\right)\times n\left(B\right)}$

$=2^{3\times 2}$

$=2^6$

$=2\times 2\times 2\times 2\times 2\times 2$

$=64$