Example 25
Last updated at Dec. 8, 2016 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 ,i.e., 5 students like to play both games.
Examples
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
Example 22
Example 23
Example 24
Example 25 You are here
Example 26
Example 27
Example 28
Example 29
Example 30
Example 31
Example 32
Example 33
Example 34
Chapter 1 Class 11 Sets
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.