If A = left{ {1,2,3,......m} right},&nbs | vedclass

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Question

$\because n(A 	imes A)=m^{2}$

$	herefore$ Any reflexive relation must have $(1,1)$

$(2,2) \dots(m, m)$ i.e. $m$ elements and may contain any m

Vedclass · Accepted Answer

${2^{{m^2} - m}}$

Vedclass · Answer

$\because n(A 	imes A)=m^{2}$

$	herefore$ Any reflexive relation must have $(1,1)$

$(2,2) \dots(m, m)$ i.e. $m$ elements and may contain any mumber of elements out of rest $\left(m^{2}-might)$

$\Rightarrow \mathrm{m}^{2}-\mathrm{m} \mathrm{C}_{0}+^{\mathrm{m}^{2}-\mathrm{m}} \mathrm{C}_{1}+\ldots+\mathrm{t}^{\mathrm{m}^{2}-\mathrm{m}} \mathrm{C}_{\mathrm{m}^{2}-\mathrm{m}}=2^{\mathrm{m}^{2}-\mathrm{m}}$

are total number of reflexive rela tion

If $A = \left\{ {1,2,3,......m} \right\},$ then total number of reflexive relations that can be defined from $A \to A$ is

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