Q.

A  and B  are two sets having 3 and 4 elements respectively and having 2 elements in common.  The number of relations which can be defined from A  to B  is

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a

25

b

210−1

c

212−1

d

None of these

answer is D.

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Detailed Solution

The number of elements in A×B  is 12. Hence the number of subsets of A×B  is 212 .
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A  and B  are two sets having 3 and 4 elements respectively and having 2 elements in common.  The number of relations which can be defined from A  to B  is