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Q.

Which is the simplified representation of A′∩B′∩C∪(B∩C)∪(A∩C) where A, B and C are subsets of set X?

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a

A

b

B

c

C

d

X∩(A∪B∪C)

answer is C.

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Detailed Solution

A′∩B′∩C∪[(B∩C)∪(A∩C)]=(A∪B)′∩C∪[(B∪A)∩C]=(A∪B)′∪(B∪A)∩C=X∩C=C
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