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  4. If n(A) = 5 and n(B) = 7, then the number of relations on A × B is

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Q. If $n(A) = 5$ and $n(B) = 7$, then the number of relations on $A \times B$ is

KEAMKEAM 2012Relations and Functions

Solution:

Given, $n(A)=5$ and $n(B)=7$
Therefore, number of relations on
$A \times B =2^{[\ln ( A ) \times n ( B )]}$ $=2^{(5 \times 7)}=2^{(35)}$