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In a group of students, 100 students know Hindi,50 know English and 25 know both. Each of the students knows
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Sep 21, 2022
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General Knowledge
by
mia2023
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In a group of students, 100 students know Hindi,50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group?
in
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group
of
students
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Sep 21, 2022
by
mia2023
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Best answer
Let U be the set of all students in the group.
Let E be the set of all students who know English.
Let H be the set of all students who know Hindi.
∴H∪E=U
Given n(H)=100 and n(E)=50
n(H∩E)=25
n(U)=n(H)+n(E)−n(H∩E)
=100+50−25
Hence, there are 125 students in the group.
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