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Mathematics
Mathematics
Problem
Three sets
A
A
A
,
B
B
B
, and
C
C
C
are such that
n
(
A
∩
B
∩
C
)
=
5
n(A \cap B \cap C) = 5
n
(
A
∩
B
∩
C
)
=
5
. If the number of elements belonging to exactly two sets is
20
20
20
, and the number of elements belonging to exactly one set is
50
50
50
, determine
n
(
A
∪
B
∪
C
)
n(A \cup B \cup C)
n
(
A
∪
B
∪
C
)
.
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