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Introduction to Relations (XI) on Sets

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By Expert Faculty of Sri Chaitanya
Question

If two sets A and B are having 99 elements in common the number of elements common to each of the sets AxB and Bx A are 121λ2 the value of λ is

Easy
Solution

n((A×B)(B×A))=n((AB)×(BA)) =n(AB)n(BA) =n(AB)n(AB) =99×99=121×92 λ=9


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