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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?
Solution:
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Verified Answer
We have $n(H)=100, n(E)=50$ and
$n(H \cap E)=25$
We know that
$n(H \cup E)=n(H)+n(E)-n(H \cap E)$
$=100+50-25=125$
$n(H \cap E)=25$
We know that
$n(H \cup E)=n(H)+n(E)-n(H \cap E)$
$=100+50-25=125$
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