If A and B are two sets having 10 and 15 elements respectively. 8 elements are common in A and B. Number of relations which can be defined from A to B is

If A and B are two sets having 10 and 15 elements respectively. 8 elements are common in A and B. Number of relations which can be defined from A to B is

A
$2^{17}$
B
$2^{25}$
C
$2^{150}$
D
$2^{80}$

Solution:

Number of elements in A x B is 150.

Number of relations from A to B = $2^{150}$

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