Q.

Given two finite sets A and B such that n(A)=2, n(B)=3. Then total number of relations from A to B is

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a

4

b

8

c

64

d

None of these

answer is C.

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Detailed Solution

Here n(A×B)=2×3=6Since every subset of A×B defines a relation from A to B, number of relation from A to B is equal to number of subsets of A×B=26=64.
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Given two finite sets A and B such that n(A)=2, n(B)=3. Then total number of relations from A to B is