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Question
Mathematics
The set (A ∪ B ∪ C) ∩ (A ∩ Bc ∩ Cc)c ∩ : : Cc is equal to
Q. The set
(
A
∪
B
∪
C
)
∩
(
A
∩
B
c
∩
C
c
)
c
∩
C
c
is equal to
2295
254
Sets
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A
B
∪
C
c
21%
B
A
∩
C
32%
C
B
∩
C
c
38%
D
C
∩
C
c
9%
Solution:
(
A
∪
B
∪
C
)
∩
(
A
∪
B
c
∪
c
c
)
c
∩
C
c
=
(
A
∪
B
∪
C
)
∩
(
A
c
∪
B
∪
C
)
∩
C
c
=
(
A
∩
A
c
)
∪
(
B
∪
C
)
∩
C
c
=
ϕ
∪
(
B
∪
C
)
∩
C
c
=
(
B
∪
C
)
∩
C
c
=
(
B
∩
C
c
)
∪
(
C
∩
C
c
)
=
B
∩
C
c
∪
ϕ
=
B
∩
C
c