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STD 12 - 1. relation and function — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 1. relation and function4 Marks
MCQ
How many reflexive relation are there on a set ' with $3$ elements
  • A
    ${2^3}$
  • ✓
    ${2^6}$
  • C
    ${2^9}$
  • D
    ${2^{12}}$
✓

Answer

Correct option: B.
${2^6}$
b
Total reflexive relation on a set with $\mathrm{n}$

elements is $2^{n^{2}-n}$

Here $n=3$

$\therefore 2^{3^{2}-3}=2^{6}$

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