JEE Mains · Maths · STD 12 - 1. relation and function
If \(\mathrm{R}\) is the smallest equivalence relation on the set \(\{1,2,3,4\}\) such that \(\{(1,2),(1,3)\} \subset R\), then the number of elements in \(\mathrm{R}\) is
- A \(10\)
- B \(12\)
- C \(8\)
- D \(15\)
Answer & Solution
Correct Answer
(A) \(10\)
Step-by-step Solution
Detailed explanation
Given set \(\{1,2,3,4\}\) Minimum order pairs are \((1,1),(2,2),(3,3),(4,4),(3,1),(2,1),(2,3),(3,2), (1,3),\) \((1,2)\) Thus no. of elements \(=10\)
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