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If set A has 2 elements and set B has 3 elements then how many subsets does A X B have?(a) 6(b) 8(c) 32(d) 64The question was posed to me in an online quiz.My question comes from Cartesian Product of Sets in division Relations and Functions of Mathematics – Class 11

Answer»

Right choice is (d) 64

To explain: If set A has m ELEMENTS and set B has n elements then A X B has m*n elements.

We KNOW, a set has 2^r subsets if it has r NUMBER of elements.

Here, A X B has 2*3 = 6 elements. So, number of subsets of A X B will be 2^6 i.e. 64.



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