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JEE MATHEMATICS MCQ: SET THEORY

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Application +4 | -1
Let U\mathcal{U} be the universal set for sets A and B such that n(A)=200,n(B)=300n\left( A \right) = 200,n\left( B \right) = 300 and n(A∩B)=100.n\left( {A \cap B} \right) = 100. Then, n(A′∩B′)n\left( {A' \cap B'} \right) is equal to 300, provided that n(U)n\left( \mathcal{U} \right) is equal to
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Correct option: B
700
The correct answer is B (700) because it is found by using De Morgan's law and the formula for the number of elements in the union of two sets.

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