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The set A ∪ B ∪ C ∩ A ∩ B ′ ∩ C ′ ′ is equal to

Options

  1. AA ∩ B
  2. BA ∩ C ′
  3. CB ∪ C
  4. DB ∩ C

Correct answer

C. B ∪ C

Step-by-step solution

A ∪ B ∪ C ∩ A ∩ B ′ ∩ C ′ ′ = A ∪ B ∪ C ∩ A ′ ∪ B ∪ C = A ∩ A ' ∪ B ∪ C = ϕ ∪ B ∪ C = ( B ∪ C )

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