Sets-Relations-And-Functions Question 147

Question: Let $ n(U)=700,n(A)=200,n(B)=300,n(A\cap B)=100 $ then $ n(A’\cap B’) $ is equal to

Options:

A) 400

B) 600

C) 300

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ n(A’\cap B’)=n(A\cup B)’=n(U)-n(A\cup B) $ $ =n(U)-[n(A)+n(B)-n(A\cap B)] $ $ =700-[200+300-100]=300 $

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