0 0 votes Set Theory & Algebra equivalence-class + – Shreya Roy 1.6k views answer comment Share Follow Print See all 11 Comments 11 11 Comments reply Show 8 previous comments Sushant Gokhale commented Dec 3, 2016 reply Follow flag There are 3 equivalence classes of same size. Thts why. Read the question carefully. 0 0 replyShare Shreya Roy commented Dec 3, 2016 reply Follow flag at least 3 equivalence class not exactly 3 is mentioned even if we consider 3 equivalence classes then total number of ordered pairs (according to your previous explanation) becomes 3*n^2 not (n2)3 0 0 replyShare Sushant Gokhale commented Dec 3, 2016 reply Follow flag Oops...I read the question wrong. But still consider #total elements = k. n2 Now, try to find the factors of any of the answers and check if we can get a perfect square. Since, k >= 3 we can take k=4 so that we get (D) as the answer. 0 0 replyShare Please log in or register to add a comment.