Question
Given two finite sets A and B such that n(A) = 3, n(B) = 3. Then total number of relations from A to B is
Answer: Option C
:
C
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:
C
Here n(A × B) = 3 × 3 = 9
Since every subset of A × B defines a relation from A to B, the number of relations from A to B is equal to the number of subsets of A × B = 2n(A×B)
= 29
= 512
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