Last updated at July 11, 2018 by Teachoo

Transcript

Example 25 In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football ? Let C be the set of students who like to play cricket & F be the set of students who like to play football. Number of students who like to play cricket = n(C) = 24 Number of students who like to play football = n(F) = 16 Number of students who like to play atleast cricket and football = n(C ∪ F) = 35 Number of students who like to play both cricket and football = n(C ∩ F) = ? We know that n (C ∪ F) = n (C) + n (F) - n (C ∩ F) 35 = 24 + 16 - n (C ∩ F) 35 = 40 - n (C ∩ F) n (C ∩ F) = 40 35 = 5 Thus, n (C ∩ F) = 5 Therefore, 5 students like to play both games.

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Example 25 You are here

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Chapter 1 Class 11 Sets

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.