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JEE MATHEMATICS MCQ: SET THEORY

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Analyzing +4 | -1
If n(A∩B)=5,  n(A∩C)=7n\left( {A \cap B} \right) = 5,\;n\left( {A \cap C} \right) = 7 and n(A∩B∩C)=3,n\left( {A \cap B \cap C} \right) = 3, then the minimum possible value of n(B∩C)n\left( {B \cap C} \right) is
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Correct option: C
3
Option C (3) is correct because the minimum possible value of n(B∩C)n(B \cap C) is equal to n(A∩B∩C)n(A \cap B \cap C) when A∩B∩CA \cap B \cap C is the entire intersection of B and C.

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