First time here? Checkout the FAQ!
0 votes

asked in Set Theory & Algebra by Loyal (3.7k points)   | 101 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.


Please log in or register to answer this question.

Top Users Sep 2017
  1. Habibkhan

    6362 Points

  2. Warrior

    2234 Points

  3. Arjun

    2212 Points

  4. nikunj

    1980 Points

  5. manu00x

    1726 Points

  6. SiddharthMahapatra

    1718 Points

  7. Bikram

    1716 Points

  8. makhdoom ghaya

    1660 Points

  9. A_i_$_h

    1528 Points

  10. rishu_darkshadow

    1512 Points

25,988 questions
33,561 answers
31,026 users