Let mathrm{A}={1,2,3,4} and mathrm{R}={(1,2),(2,3),(1,4)} be a relation on mathrm{A} . Let mathrm{S}

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1.Relation and Function

easy

Let $\mathrm{A}=\{1,2,3,4\}$ and $\mathrm{R}=\{(1,2),(2,3),(1,4)\}$ be a relation on $\mathrm{A}$. Let $\mathrm{S}$ be the equivalence relation on $A$ such that $\mathrm{R} \subset \mathrm{S}$ and the number of elements in $\mathrm{S}$ is $\mathrm{n}$. Then, the minimum value of $\mathrm{n}$ is...............

A

$16$

B

$15$

C

$14$

D

$13$

(JEE MAIN-2024)

Solution

All elements are included Answer is $16$

Standard 12

Mathematics

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