Q80.The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to: (1) 5 (2) 9 16 16 (3) 11 (4) 13 16 16
What This Question Tests
This question tests the understanding of properties of relations (symmetric and transitive) on a small set. It requires enumerating all possible relations and then identifying those that satisfy both conditions.
Concepts Tested
Formulas Used
Number of relations from A to B = 2^(|A|*|B|)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Probability
- Topic
- Relations, Symmetric and transitive relations
- Year
- 2022
- Shift
- 29 Jun Shift 2
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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