Q17.The number of non-empty equivalence relations on the set {1, 2, 3} is : (1) 6 (2) 5 (3) 7 (4) 4
What This Question Tests
This question tests the understanding that the number of equivalence relations on a set is equal to the number of partitions of that set (Bell numbers).
Concepts Tested
Formulas Used
B_n (Bell number) = number of partitions of a set of n elements
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Equivalence Relations
- Year
- 2025
- Shift
- 22 Jan Shift 1
- Q Number
- Q17
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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