Chapter 1 Class 11 Sets
Serial order wise

Ex 1.6, 3 - In a group of 400 people, 250 can speak Hindi

Ex 1.6, 3 - Chapter 1 Class 11 Sets - Part 2

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Transcript

Question 3 In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English? Let H be the set of people who speak Hindi, and E be the set of people who speak English Number of people who speak Hindi = n(H) = 250 Number of people who speak English = n(E) = 200 Total number of people = n(H ∪ E) = 400 Number of people who can speak both English and Hindi = n(H ∩ E) = ? Now, n(H ∪ E) = n(H) + n(E) – n(H ∩ E) 400 = 250 + 200 – n(H ∩ E) 400 = 450 – n(H ∩ E) n(H ∩ E) = 450 – 400 = 50 Thus, 50 people can speak both Hindi and English.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo