##### Set theory and algebra

Consider the set *S* = {*a*, *b*} and ‘*L*’ be a binary relation such that *L* = {all binary relations except reflexive relation set *S*}. The number of relation which are symmetric _______.

*S* = {*a*, *b*} and ‘*L*’ be a binary relation such that *L* = {all binary relations except reflexive relation set *S*}. The number of relation which are symmetric _______.

all binary relations except reflexive relation set

S involves removing all diagonal elements , then we are left with (n^{2}- n) elements for symmetricity if (a,b) is present then it is must that (b,a) should be present , so we have got 2^{(n(n-1)/2)}yes from this expression only I got 2 but the given ans is 6

now you can judge answer better

Binary relation on set S = SxS

so, how could you get {aa},{bb},{ab,ba},{aa,ab,ba},{bb,ab,ba},{}

provide some source for validity