GeeksforGeeks » Multiple Choice Questions

A GATE 2010 CS question

(4 posts)

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  1. ganesh
    guest
    Posted 2 years ago #

    What is the possible number of reflexive relations on a set of 5 elements?
    (A) 210 (B) 215 (C) 220 (D) 225

  2. Shekhu
    Member
    Posted 2 years ago #

    The number of reflexive relations on an n-element set is 2^(n^2−n).

    Source: http://en.wikipedia.org/wiki/Reflexive_relation

    So for your question, answer is 2^(25 - 5) = 2^20.

    Your choices are not correct :)

  3. ganesh
    guest
    Posted 2 years ago #

    my bad, the options were
    (A) 2^10
    (B) 2^15
    (C) 2^20
    (D) 2^25

  4. Ashok
    guest
    Posted 5 months ago #

    thanks...............


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