Sets Operations
If A and B are two sets such that n(A × B) = 24 and A = {1, 2, 3}, then the number of elements in set B is
Select the correct option:
Solution
8
- Cardinality Rule: n(A×B)=n(A)×n(B).
- Identify Given Data:
- Total pairs =24.
- n(A)=3 (since A={1,2,3}).
- Solve for n(B):
- 24=3×n(B)
- n(B)=24/3=8.
- Result: Set B must have 8 elements.
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About This Question
- Subject
- mathematics
- Chapter
- sets, relations and functions
- Topic
- sets operations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
8
- Cardinality Rule: n(A×B)=n(A)×n(B).
- Identify Given Data:
- Total pairs =24.
- n(A)=3 (since A={1,2,3}).
- Solve for n(B):
- 24=3×n(B)
- n(B)=24/3=8.
- Result: Set B must have 8 elements.
This easy difficulty mathematics question is from the chapter sets, relations and functions, covering the topic of sets operations. It appeared in the 2025 exam.
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