If n(A) = 5, n(A ∪ B) = 7, and n(B) = 5, then what is n(A ∩ B)?

Mathematics
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If n(A) = 5, n(A ∪ B) = 7, and n(B) = 5, then what is n(A ∩ B)?

Jun 10th, 2015

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If n(A) = 5, n(A ∪ B) = 7, and n(B) = 5, then what is n(A ∩ B)?

n(A ∪ B)  =n(A)+n(B) - n(A ∩ B)

therefore n(A ∩ B) =n(A)+n(B) - n(A ∪ B)

substituting values we get n(A ∩ B) =  5+5-7 =3

Answer : n(A ∩ B) =  3

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Jun 10th, 2015

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Jun 10th, 2015

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Jun 10th, 2015

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