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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 _____.


A

4

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B

8

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C

512

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D

6

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Solution

The correct option is C

512


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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