If mathrm{R} is smallest equivalence relation on set {1,2,3,4} such that {(1,2),(1,3)} subset R , th

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1.Relation and Function

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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

$15$

(JEE MAIN-2024)

Solution

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 $=10$

Standard 12

Mathematics

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