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Byju's Answer
Standard IX
Mathematics
Venn Diagram
In a group of...
Question
In a group of
1000
people there are
750
who can speak Hindi and
400
who can speak Bengali. How many can speak Hindi only ?
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Solution
n
(
H
∪
B
)
=
1000
n
(
H
)
=
750
n
(
B
)
=
400
Now,
n
(
H
∩
B
)
=
n
(
H
)
+
n
(
B
)
−
n
(
H
∪
B
)
⇒
n
(
H
∩
B
)
=
750
+
400
−
1000
⇒
n
(
H
∩
B
)
=
150
Number of people speaking only Hindi
=
n
(
H
)
−
n
(
H
∩
B
)
=
750
−
150
=
600
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