Given an example of three sets A, B, C such that A ∩ C ≠ ϕ, B ∩ C ≠ ϕ, A ∩ C ≠ ϕ, and A ∩ B ∩ C = ϕ

Let A = {1, 2}


B = {2, 3}


C = {1, 3, 4}


AB = {2}


AC = {1}


BC = {3}


ABC = {2} {1, 3, 4} = ø


So the three sets are valid and satisfy the given conditions


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