Let the set of all relations on the set

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let the set of all relations RR on the set {a,b,c,d,e,f}\{a, b, c, d, e, f\}, such that RR is reflexive and symmetric, and RR contains exactly 10 elements, be denoted by S\mathcal{S}. Then the number of elements in S\mathcal{S} is ____.

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