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Question

Let A and B be two sets such that n(A)=5,n(AB)=9,n(AB)=2, find n(B).

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Solution

Given, n(A)=5,n(AB)=9,n(AB)=2
We need to find n(B)
We know n(AB)=a(A)+n(B)n(AB)
9=5+n(B)2
n(B)=6

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