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    Question

    If n(A) = 25, n(B) = 40 and n(A ∪ B) = 50, then n(A ∩ B) equals

    A 10 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    Given: n(A) = 25, n(B) = 40 and n(A ∪ B) = 50 To Find: n (A ∩ B) We know that, n(A ∪ B) = n(A) + n(B) - n(A ∩ B) ⇒ n(A ∩ B) = n(A) + n(B) - n(A ∪ B) ⇒ n(A ∩ B) = 25 + 40 - 50 ∴ n(A ∩ B) = 15

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