In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the student knows either Hindi or English. How many students are there in the group?

In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the student knows either Hindi or English. How many students are there in the group? Correct Answer 125

Given, n(H)=100, n(E)=50, n(H∩E) = 25 We know, n (H∪E) = n (H) + n (E) – n(H∩E) n (H∪E) = 100+50-25=125 Since each of the student knows either Hindi or English, so n(U) = n (H∪E) = 125.
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