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The minimum number of elements that must be added to the Relation $R = {(a, b), (b, c)}$ on the set ${a, b, c}$ so that it becomes symmetric and transitive is

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$4$

$5$

$7$

$3$

answer is C.

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Detailed Solution

${a, b, c}$ $R = {(a, b), (b, c)}$
R is symmetric, transitive
$\Rightarrow (b, a), (c, b), (a, a), (b, b), (c, c),$
$(a, c), (c, a)$ are elements of R
minimum number of added elements :7

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