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Let $A=\{1,2\}$ and $B=\{3,4\}$. Write $A \times B$. How many subsets will $A \times B$ have ? List them.
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Here, $A=\{1,2\}, B=\{3,4\}$
$A \times B=(1,2) \times(3,4)=\{(1,3),(1,4),(2,3),(2,4)\}$
No. of subset of a set having $n$ element $=2^n$.
Hence, No. of subset of $A \times B=2^4=16$
$A \times B=(1,2) \times(3,4)=\{(1,3),(1,4),(2,3),(2,4)\}$
No. of subset of a set having $n$ element $=2^n$.
Hence, No. of subset of $A \times B=2^4=16$
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