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If set A has 2 elements and set B has 4 elements then how many relations are possible?(a) 32(b) 128(c) 256(d) 64The question was asked in an interview.Enquiry is from Relations topic in chapter Relations and Functions of Mathematics – Class 11

Answer»

Correct option is (d) 64

The EXPLANATION is: We know, A X B has 2*4 i.e. 8 elements. NUMBER of subsets of A X B is 2^8 i.e. 256.

A relation is a subset of cartesian product so, number of possible relations are 256.



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