Răspuns :
Se cunoaste, ca numarul submultimilor unei multimi cu n elemente este 2n, inclusiv multimea vida - daca scoatem submultimea vida avem 2^n-1 submultimi.
Multimea A={1,2,3,5} are 4 elemente ,luam submultimile nevide ale lui A, deci avem in total 2⁴-1= 16-1=15 submultimi.
Multimea A={1,2,3,5} are 4 elemente ,luam submultimile nevide ale lui A, deci avem in total 2⁴-1= 16-1=15 submultimi.
Mulțimea submultimilor lui A, sau multimea partilor lui A este:
[tex]P(A)=\{\Phi,\{1\};\{2\};\{3\};\{5\};\{1;2\};\{1;3\};\{1;5\};\{2;3\};\{2;5\};\{3;5\};[/tex]
[tex]\{2;3;5\};\{1;3;5\};\{1;2;5\};\{1;2;3\},A\}[/tex]
[tex]P(A)=\{\Phi,\{1\};\{2\};\{3\};\{5\};\{1;2\};\{1;3\};\{1;5\};\{2;3\};\{2;5\};\{3;5\};[/tex]
[tex]\{2;3;5\};\{1;3;5\};\{1;2;5\};\{1;2;3\},A\}[/tex]