Mathematics

Mathematics

Problem

For a set with nn (n≥2)(n\ge 2) elements, which of the following expressions equals the number of symmetric but not reflexive relations on the set? a) 2n(n−1)2+n  −  12^{\frac{n(n-1)}{2}+n}\; -\; 1 b) 2n(n−1)2+n2^{\frac{n(n-1)}{2}+n} c) 2n(n−1)2+n  −  2n(n−1)22^{\frac{n(n-1)}{2}+n}\; -\; 2^{\frac{n(n-1)}{2}} d) 2n(n−1)2+n  −  2n2^{\frac{n(n-1)}{2}+n}\; -\; 2^{n}

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