Question:
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?
Answer:
Number of students know Hindi = n(H)= 100
Number of students know English = n(E)= 50
Number of students know both Hindi and English = n(H∩E) = 25`
Number of students know either Hindi or English
n(H∪E) = n(H) + n(E) - n(H∩E)
= 100 + 50 - 25
= 100 + 25
= 125
So total number of students = 125
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