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Misc 14 - Chapter 1 Class 11 Sets (Term 1)
Last updated at March 22, 2023 by Teachoo
Miscellaneous
Misc 1
Misc 2 (i)
Misc 2 (ii) Important
Misc 2 (iii) Important
Misc 2 (iv)
Misc 2 (v)
Misc 2 (vi) Important
Misc 3
Misc 4 Important
Misc 5
Misc 6 Deleted for CBSE Board 2023 Exams
Misc 7 Important Deleted for CBSE Board 2023 Exams
Misc 8 Important
Misc 9 Important
Misc 10
Misc 11
Misc 12 Important
Misc 13 Important
Misc 14 You are here
Misc 15 Important
Misc 16 Important
Transcript
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.
