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(B) An equivalence relation $R$ on a set $A$ must satisfy the reflexive,symmetric,and transitive properties. For a set $A$ with $n$ elements,the refle

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$6$

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(B) An equivalence relation $R$ on a set $A$ must satisfy the reflexive,symmetric,and transitive properties. For a set $A$ with $n$ elements,the reflexive property requires that for every element $a \in A$,the ordered pair $(a, a)$ must be in $R$. Given that the set contains $6$ elements,we must have at least the pairs $(a_1, a_1), (a_2, a_2), (a_3, a_3), (a_4, a_4), (a_5, a_5),$ and $(a_6, a_6)$ in $R$. Thus,the minimum number of ordered pairs required is $6$.

Let $R$ be an equivalence relation defined on a set containing $6$ elements. The minimum number of ordered pairs that $R$ should contain is

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