Number of Reflexive and Symmetric Relations on a Set Proof

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How is the number of reflexive and symmetric relation on a set containing n elements is 2 to the power n square minus n by 2.
2^(n^2-n)/2.
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[apm]

Sir, no.of reflexive relation is wrong

[nm]

What is the no. of relations which are reflexive but not symmetric? From this figure

[dr_umar_mir]

Sir Symmetric mai diagonal elements have 2 choices i think it will be 2^n instead of 1 because if take (1, 1) it is not necessary to take (2, 2). However in reflexive it is necessary ❤️🙏

[braedengood]

who do these videos always speak in half English half indian lmao

[krishnakundu]

Non diagonal elements mei ek ko select krne se dusra kaise ho jata h sir