JEE MAIN - Mathematics (2024 - 29th January Evening Shift - No. 7)
If R is the smallest equivalence relation on the set $$\{1,2,3,4\}$$ such that $$\{(1,2),(1,3)\} \subset \mathrm{R}$$, then the number of elements in $$\mathrm{R}$$ is __________.
15
10
12
8
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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