Q.

Let X be the universal set for sets A and B. If n(A)=200,n(B)=300 and n(AB)=100, then n(A1B1) is equal to 300 provided n(X) is equal to ____________

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answer is 700.

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Detailed Solution

We have, n(AB)=n(A)+n(B)n(AB) 
n(AB)=200+300100=400 
Also, n(A1B1)=n(AB1)=n(X)n(AB) 
300=n(X)400 or n(X)=700

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