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Question 2 - Number of elements in set - 2 sets (Direct) - Chapter 1 Class 11 Sets
Last updated at August 5, 2026 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
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Transcript
Question 2 If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements and Y has 15 elements; how many elements does X ∩Y have? Given, n(X ∪ Y) = 18, n(X) = 8, n(Y) = 15 n(X ∩ Y) = ? We know that: n(X ∪ Y) = n(X) + n(Y) - n(X ∩ Y) 18 = 8 + 15 – n(X ∩ Y) 18 = 23 – n(X ∩ Y) n(X ∩ Y) = 23 – 18 n(X ∩ Y) = 5
