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$\text{Prove that : the union of any two subgroup of 'G' is not subgroup of 'G'}$

$\text{Prove that : the intersection of any two subgroup of 'G' is also a subgroup of 'G'}$
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The Number of Relations, Which are both Reflexive and Symmetric but not Anti-Symmetric, on aset with 6 elements, are ____________?i got 32768 plz check