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Byju's Answer
Standard IX
Mathematics
Venn Diagram
In a class of...
Question
In a class of
70
all like to play kabaddi and khokho .
45
like to play kabaddi and
52
khokho. How many students like to play kabadi or khokho
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Solution
Let
x
students play both Kabhaddi and Khokho.
Hence as shown in the Venn diagram
(
45
−
x
)
students play only Kabaddi and
(
52
−
x
)
will play Khokho.
Hence
(
45
−
x
)
+
x
+
(
52
−
x
)
=
70
⇒
x
=
70
−
45
−
52
=
27
Hence
(
45
−
27
)
=
18
students will play only Kabaddi,
(
52
−
27
)
=
25
students will play only Khokho
∴
27
students will play both
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