GATE CSE
First time here? Checkout the FAQ!
x
0 votes
92 views

asked in Set Theory & Algebra by Loyal (3.5k points)   | 92 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 May 2017
  1. akash.dinkar12

    3338 Points

  2. pawan kumarln

    2066 Points

  3. Bikram

    1922 Points

  4. sh!va

    1672 Points

  5. Arjun

    1614 Points

  6. Devshree Dubey

    1272 Points

  7. Debashish Deka

    1174 Points

  8. Angkit

    1056 Points

  9. LeenSharma

    1018 Points

  10. Arunav Khare

    758 Points

Monthly Topper: Rs. 500 gift card
Top Users 2017 May 22 - 28
  1. Bikram

    1008 Points

  2. pawan kumarln

    692 Points

  3. Arnab Bhadra

    626 Points

  4. Arjun

    342 Points

  5. bharti

    328 Points


22,888 questions
29,193 answers
65,292 comments
27,691 users