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Q.

Given nU=20, nA=12, nB=9, nA∩B=4, where U is the universal set, A and B are subsets of U, then n(A∪BC)=

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a

17

b

9

c

11

d

3

answer is D.

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Detailed Solution

nA∪B=nA+nB-nA∩B=12+9-4=17 Now, nA∪Bc=nU-n(A∪B)=20-17=3.
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