Relations
Let A = {1, 2, 3} and B = {4, 5}. The total number of relations from A to B is
Select the correct option:
Solution
64
- Identify Cartesian Product size: n(A×B)=n(A)×n(B)=3×2=6.
- Definition: A relation is a subset of the Cartesian product.
- Power Set Principle: If a set has k elements, it has 2k subsets.
- Calculation: Total relations =2n(A×B)=26=64.
- Result: 64 possible relations.
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About This Question
- Subject
- mathematics
- Chapter
- sets, relations and functions
- Topic
- relations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
64
- Identify Cartesian Product size: n(A×B)=n(A)×n(B)=3×2=6.
- Definition: A relation is a subset of the Cartesian product.
- Power Set Principle: If a set has k elements, it has 2k subsets.
- Calculation: Total relations =2n(A×B)=26=64.
- Result: 64 possible relations.
This easy difficulty mathematics question is from the chapter sets, relations and functions, covering the topic of relations. It appeared in the 2025 exam.
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