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Question 3 - Number of elements in set - 2 sets (Direct) - Chapter 1 Class 11 Sets
Last updated at April 16, 2024 by Teachoo
Number of elements in set - 2 sets (Direct)
Chapter 1 Class 11 Sets
Concept wise
- Depiction and Definition
- Depicition of sets - Roster form
- Depicition of sets - Set builder form
- Intervals
- Null Set
- Finite/Infinite
- Equal sets
- Subset
- Power Set
- Universal Set
- Venn Diagram and Union of Set
- Intersection of Sets
- Difference of sets
- Complement of set
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Number of elements in set - 2 sets (Direct)
- Number of elements in set - 2 sets - (Using properties)
- Number of elements in set - 3 sets
- Proof - Using properties of sets
- Proof - where properties of sets cant be applied,using element
Transcript
Question 3 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.
