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In a group of students, 100 students kno...

In a group of students, 100 students know Hindi, 50 know English and 33 know both. Each of the students knows either Hindi or English. How many students are there in the group?

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Let .H. be the set of students know Hindi and .E. be the set of students know English .n(H)=100, n(E)=50, n(H nn E)=25.
.n(H uu E)=n(H)+n(E)-n(H nn E)=100+50-25=125.
.therefore 125. students in the group.
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