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Subjects
Mathematics State Board
Class 9
Set Language
Cardinality and Practical Problems on Set Operations-I
5.
Two marks exercise problems III
Exercise condition:
1.8
m.
Out of
500
car owners investigated,
400
owned car
A
and
200
owned car
B
,
50
owned both
A
and
B
cars. Is this data correct?
Proof
:
n(A \cup B) =
n(A) =
n(B) =
n(A \cap B) =
n(A) + n(B) - n(A \cap B) =
n(A∪B) = n(A) + n(B) - n(A ∩ B)
n(A∪B)
\ne
n(A) + n(B) - n(A ∩ B)
The given data is
incorrect
correct
.
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