Questions

Given two finite sets A and B such that $\mathrm{n}\left(\mathrm{A}\right)=2,\mathrm{n}\left(\mathrm{B}\right)=3$. Then total number of relations from A to B is

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a

4

b

8

c

64

d

None of these

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detailed solution

Correct option is C

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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The number of reflexive relations of a set with four elements is equal to

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