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Relations and Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations and Functions1 Mark
MCQ
How many reflexive relations are possible in a set $A$ whose $n(A)=3$ ?
  • ✓
    $2^6$
  • B
    $2^9$
  • C
    $2^3$
  • D
    8
✓

Answer

Correct option: A.
$2^6$
(a) : Number of reflexive relations on a set having $n$ elements $=2^{n(n-1)}$
So, required number of reflexive relations $=2^{3(3-1)}=2^6$

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