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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 group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English? Let H be the set of people who speak Hindi, and E be the set of people who speak English Number of people who speak Hindi = n(H) = 250 Number of people who speak English = n(E) = 200 Total number of people = n(H ∪ E) = 400 Number of people who can speak both English and Hindi = n(H ∩ E) = ? Now, n(H ∪ E) = n(H) + n(E) – n(H ∩ E) 400 = 250 + 200 – n(H ∩ E) 400 = 450 – n(H ∩ E) n(H ∩ E) = 450 – 400 = 50 Thus, 50 people can speak both Hindi and English.
