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The Number of Relations, Which are both Reflexive and Symmetric but not Anti-Symmetric, on a

set with 6 elements, are ____________?

i got 32768 plz check
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since it is reflexive as well as symmetric. therefore, all self pairs will definitely be there. and no. of symmetric relations = 2^((n^2-n)/2)

hence it is 2^15 i.e. 32768 but we will have to subtract one case when only self pairs will appear in relation. because relation with only self pairs is symmetric as well as antisymmetric..
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