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Q.

Let R = {(1, 2), (2, 3), (3,3)} be a relation defined on the set {1, 2, 3, 4}. Then the minimum number of elements, needed to be added in R so the R becomes an equivalence relation, is :

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a

8

b

7

c

10

d

9

answer is D.

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Detailed Solution

A={1,2,3,4}

For relation R={(1,2),(2,3),(3,3)} to be equivalance

minimum elements to be added are

(1,1),(2,2),(4,4)(2,1)(3,2)(3,2)(3,1)(1,3)

Minimum number of elements to be added =7

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