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

Thank you for the opportunity to help you with your question!

we know that n(AUB)=n(A)+n(B)-n(A∩ B)

thus n(A∩ B)=(5+7)-7=2

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Jun 10th, 2015

Can you please explain how you solved this? 

Jun 10th, 2015

you have to know the formula n(AUB)=n(A)+n(B)-n(A∩ B) first, then all you have to do is to plug in the numbers. 

Jun 10th, 2015

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