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Congruent Triangles

If A, B and C...

Question

If A, B and C are any three non-empty sets such that any two of them are disjoint, then (A ∪ B ∪ C) (A ∩ B ∩ C) = ____________.

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Solution

If A, B and C are three non-empty sets such that any two of there are disjoint say
A ∩ B = ϕ
B ∩ C = ϕ and A ∩ C = ϕ
Then A ∩ B ∩ C = ϕ
⇒ (A ⋃ B ⋃ C) (A ∩ B ∩ C) = (A ⋃ B ⋃ C) ∩ ϕ
= ϕ

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