JEE Mathematics · Medium

Sets, Relations and Functions: Mixed MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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MixedMediumQuestion 410011

Question

n(A ∪ B) = n(A) + n(B) − n(A ∩ B). If n(A)=8, n(B)=6, n(A∩B)=3, then n(A∪B) is:
  1. A
    11
    Correct
  2. B
    14
  3. C
    9
  4. D
    17

Correct answer

11

Explanation

n(A∪B) = 8 + 6 − 3 = 11. By inclusion-exclusion principle.