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Suppose A is a finite set with n elements. The number of elements and the rank of the largest equivalence relation on A are
  • a)
    {n,1}
  • b)
    {n, n}
  • c)
    {n2, 1}
  • d)
    {1, n2}
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Suppose A is a finite set with n elements. The number of elements and ...
A = {p, q} ∴ n = 4
R = {(p, p), (p, q), (q, p), (q, q)}
∴ Reflexive
The largest equivalence relation is n2 = 22 = 4
Diagraph of this relation will have only one connected component, hence this relation has rank 1.
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