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Q.

Let U be the universal set and A∪B∪C=U . Then [(A−B)∪(B−C)∪(C−A)]C equals

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a

A∪B∪C

b

A∩B∪C

c

A∪(B∩C)

d

A∩(B∪C)

answer is B.

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Detailed Solution

(A−B)∪(B−C)∪(C−A) is the shaded portion. ∴ [(A−B)∪(B−C)∪(C−A)}c is the unshaded portion  and which is equal to A∩B∩C
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Let U be the universal set and A∪B∪C=U . Then [(A−B)∪(B−C)∪(C−A)]C equals