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Misc 14 - In a group of students 100 know Hindi, 50 know English

misc 14 - Part 2

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Misc 14 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? Let E be the set of all students who know English. and H be the set of all students who know Hindi. Number of students who know Hindi = n(H) = 100 Number of students who know English = n(E) = 50 Number of students who know both Hindi and English = n(H ∩ E) = 25 Since, each of the students know Hindi or English Number of students in group = Number of students who know Hindi or English = n(H ∪ E ) We know that n (H ∪ E ) = n(H)+ n(E) - n(H ∩ E) = 100 + 50 – 25 = 125 Hence, there are 125 students in the group.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.