How many reflexive relation are there on a set ' with 3 elements - Vidyadip

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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