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Q.

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

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a

600

b

700

c

900

d

800

answer is B.

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Detailed Solution

n(A)=200 ,n(B)=300 ,n(AB)=100 ,n(A|B|)=300

n(AB)=200+300100=400

n(A|B|)=n(U)n(AB)

300=n(U)400

n(U)=700

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