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In a group of students, 100 students ...

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?

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To solve the problem, we will use the principle of inclusion-exclusion for sets. We need to find the total number of students in the group who know either Hindi or English. ### Step-by-Step Solution: 1. **Identify the Sets**: - Let \( N_H \) be the number of students who know Hindi. - Let \( N_E \) be the number of students who know English. - Let \( N_{H \cap E} \) be the number of students who know both Hindi and English. ...
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