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 is becomes symmetric and transitive is :
3
4
5
7
R {(a,b),(b,c)}
For symmetric relation (b, a), (c, b) must be added in R
For transitive relation (a, c), (a, a), (b, b), (c, c), (c, a) must be added in R
So, minimum number of element = 7
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