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Question 4 - Number of elements in set - 2 sets (Direct) - Chapter 1 Class 11 Sets
Last updated at Dec. 13, 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 4 In a group of students 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? Let E be the set of all students who know English. and H be the set of all students who know Hindi. Number of students who know Hindi = n(H) = 100 Number of students who know English = n(E) = 50 Number of students who know both Hindi and English = n(H ∩ E) = 25 Since, each of the students know Hindi or English Number of students in group = Number of students who know Hindi or English = n(H ∪ E ) We know that n (H ∪ E ) = n(H)+ n(E) - n(H ∩ E) = 100 + 50 – 25 = 125 Hence, there are 125 students in the group.
