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

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 step by step, we can use the principle of inclusion-exclusion in set theory. ### Step 1: Identify the given values - Let \( n(H) \) be the number of students who know Hindi. Given \( n(H) = 100 \). - Let \( n(E) \) be the number of students who know English. Given \( n(E) = 50 \). - Let \( n(H \cap E) \) be the number of students who know both Hindi and English. Given \( n(H \cap E) = 25 \). ### Step 2: Use the formula for the union of two sets ...
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