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If A, B and C are non-empty sets such that A ∩ C = φ, then what is (A x B) ∩ (C × B) equal to?

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If A, B and C are non-empty sets such that A ∩ C = φ, then what is (A x B)   ∩ (C × B) equal to? 

(a) A × C

(b) A × B

(c) B × C 

(d) φ

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1 Answer

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Best answer

Correct option is (d)

Explanation:

∵ A, B and C are non-empty sets, such that A ∩ C= φ. 

∴ (A × B) ∩ (C × B) = (A ∩ C) × B = φ × B = φ

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