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ExamsJEE AdvancedMaths

Let A and B be two sets with n(A) = 70, n(B) = 60, and n(A union B) = 110. Find n(A intersection B).

  1. 240
  2. 20
  3. 100
  4. 120

Correct answer: 20

Solution

By inclusion-exclusion: n(A intersection B) = n(A) + n(B) - n(A union B) = 70 + 60 - 110 = 20.

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