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asked in Set Theory & Algebra by Loyal (3.5k points)   | 96 views

It should be (n2)3

why (n2)3 ?

did not understand the cube part..

There are 3 equivalence classes of same size. Thts why. Read the question carefully.

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

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.

 

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