Because finite set contains limited subsets, it has many properties infinite set doesn’t have. This paper begins with the sum of all elements of subsets with k elements in finite set with n elements, gains calculating formula for Sn,the sum of all elements of subsets in finite set with n elements, and gets calculating formula for Sn,k(k=0,1,2,…,n), the sum of all elements of subsets with k order as well as unimodal nature and some other inferences.
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程杰,杨冬苹.关于有限集[n]及其子集若干性质的讨论[J].重庆工商大学学报(自然科学版),2015,32(5):52-54 CHENG Jie,Yang DongPing. Discussion on the Nature of the Finite Set[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2015,32(5):52-54