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Byju's Answer
Standard XII
Mathematics
Intersection
The set A∪ ...
Question
The set
(
A
∪
B
∪
C
)
∩
(
A
∩
B
′
∩
C
′
)
′
∩
C
′
is equal to
A
A
∩
B
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B
A
∩
C
′
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C
B
∩
C
′
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D
B
′
∩
C
′
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Solution
The correct option is
B
B
∩
C
′
(
A
∪
B
∪
C
)
∩
(
A
∩
B
′
∩
C
′
)
′
∩
C
′
=
(
A
∪
B
∪
C
)
∩
(
A
′
∪
B
∪
C
)
∩
C
′
=
{
(
A
∩
A
′
)
∪
(
B
∪
C
)
}
∩
C
′
=
(
ϕ
∪
B
∪
C
)
∩
C
′
=
(
B
∪
C
)
∩
C
′
=
(
B
∩
C
′
)
∪
(
C
∩
C
′
)
=
(
B
∩
C
′
)
∪
ϕ
=
B
∩
C
′
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