Let $n(A) = n$. Then the number of all relations on $A$ is
Let $n(A) = n$. Then the number of all relations on $A$ is
- A
${2^n}$
- B
${2^{(n)!}}$
- C
${2^{{n^2}}}$
- D
None of these
Similar Questions
Among the relations $S =\left\{( a , b ): a , b \in R -\{0\}, 2+\frac{ a }{ b } > 0\right\}$ And $T =\left\{( a , b ): a , b \in R , a ^2- b ^2 \in Z \right\}$,
Among the relations $S =\left\{( a , b ): a , b \in R -\{0\}, 2+\frac{ a }{ b } > 0\right\}$ And $T =\left\{( a , b ): a , b \in R , a ^2- b ^2 \in Z \right\}$,
- [JEE MAIN 2023]
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Show that the relation $R$ in the set $\{1,2,3\}$ given by $R =\{(1,2),(2,1)\}$ is symmetric but neither reflexive nor transitive.
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