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Permutations and Combinations question

2025 · Shift 1 · Q24
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  5. /2025 · Shift 1 · Q24

Permutations and Combinations question

2025 · Shift 1 · Q24

JEE AdvancedMathematicsPermutations and CombinationsNumerical+4 / −1
Let the set of all relations RRR on the set {a,b,c,d,e,f}\{a, b, c, d, e, f\}{a,b,c,d,e,f}, such that RRR is reflexive and symmetric, and RRR contains exactly 101010 elements, be denoted by S\mathcal{S}S. Then the number of elements in S\mathcal{S}S is ‾\underline{\hspace{2cm}}​.
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