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Category: Set Theory

for-A-1-2-3-4-5-6-7-compute-the-number-of-a-Subsets-of-A-b-Nonempty-subsets-of-A-c-proper-subsets-of-A-d-Non-empty-proper-subset-of-A-e-Subsets-of-A-containing-three-element-f-Subs

Question Number 102357 by Cynosure last updated on 08/Jul/20 forA={1,2,3,4,5,6,7},computethenumberof:(a)SubsetsofA.(b)NonemptysubsetsofA.(c)propersubsetsofA.(d)NonemptypropersubsetofA.(e)SubsetsofAcontainingthreeelement.(f)SubsetsofAcontaining1,2.$$\left({g}\right)\:{Proper}\:{subsets}\:{of}\:{A}\:{containing}\:\mathrm{1},\mathrm{2}. \

Question-35703

Question Number 35703 by scientist last updated on 22/May/18 Answered by arcana last updated on 17/Oct/18 tomandolapropiedaddefunciondemedidanA,Bconjuntosfinitosn(AB)=n(A)+n(B)n(AB)asi$$\bullet\:{n}\left(\left(\mathrm{A}\cup\mathrm{B}\right)\cup\left(\mathrm{C}\cup\mathrm{D}\right)\right)={n}\left(\mathrm{A}\cup\mathrm{B}\right)+{n}\left(\mathrm{C}\cup\mathrm{D}\right)−{n}\left(\left(\mathrm{A}\cup\mathrm{B}\right)\cap\left(\mathrm{C}\cup\mathrm{D}\right)\right)…