JEE MATHEMATICS MCQ: SET THEORY

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Application +4 | -1

n(A \cup B \cup C)+n(A \cup B \cup C)^{\prime}=50, n(A)=10, n(B)=15, n(C)=20, n(A \cap B)=5, n(B \cap C)=6, n(C \cap A)=10, n(A \cap B \cap C)=5,

then the value of

n(A \cup B \cup C)^{\prime}

View answer and explanation

Correct option: B

Option B (21) is correct because using the principle of inclusion-exclusion to find

n(A \cup B \cup C)

and subtracting it from the total number of elements gives the correct value for

n(A \cup B \cup C)'

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