Let A,B,C are three sets such that n(A∩B)=n(B∩C)=n(C∩A)=n(A∩B∩C)=2, then n((A×B)∩(B×C)) is equal to
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Solution
Let us consider the sets as
A = {1 , 2, a, b, c,.....}
B = {1, 2, d, e, f,.......}
C = {1, 2, g, h, i,.......}
common elements are {(1,2),(1,1)(2,1),(2,2)}