Example 25 - Chapter 1 Class 11 Sets (Term 1)
Last updated at Jan. 27, 2020 by Teachoo
Examples
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Example 25 Important You are here
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Example 31 Deleted for CBSE Board 2023 Exams
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Chapter 1 Class 11 Sets
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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 n (C ∩ F) = 5 Thus, 5 students like to play both games.
