JEE Mains · Maths · STD 12 - 1. relation and function
The number of relations on the set \(\mathrm{A}=\{1,2,3\}\) containing at most 6 elements including \((1,2)\), which are reflexive and transitive but not symmetric, is ________
- A 6
- B 10
- C 15
- D 20
Answer & Solution
Correct Answer
(A) 6
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & A=\{1,2,3\} \\ & (1,1),(2,2),(3,3),(1,2) \in R \end{aligned}\) Remaining elements are \((2,1),(2,3),(1,3),(3,1),(3,2)\) (1) If relation contains exactly 4 elements = 1 way (2) if relation contains exactly 5 elements It can be \((1,3),(3,2) \Rightarrow 2\)…
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