Let n≥2 be a positive integer. The set M consists of 2n2−3n+2 positive rational numbers. Prove that there exists a subset A of M with n elements with the following property: ∀ 2≤k≤n the sum of any k (not necessarily distinct) numbers from A is not in A. Combinatorial Number TheorySubsetsnumber theorycombinatoricsProbabilistic MethodBulgaria