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Scrieti toate submultimile multimilor: B={x;y;z;t}.
VA ROG FRUMOS ,REPEDE!


Răspuns :

B={x;y;z;t}
{x} {y} {z} {t} {x,y} {x,z} {x,t} {y,z} {y,t} {z,t} {x,y,z} {x,y,t} {x,z,t} {y,z,t} {x,y,z,t}
O multime cu n elemente are in total [tex]2^n[/tex] submultimi.
In cazul nostru, multimea B va avea [tex]2^4=16[/tex] submultimi.
Submultimile sunt:
1) Multimea vida Ф=1=[tex]C_4^0[/tex]
2) {x},{y},{z},{t}=4=[tex]C_4^1[/tex]
3) {x,y},{x,z},{x,t},{y,z},{y,t},{z,t}=6=[tex]C_4^2[/tex]
4) {x,y,z},{x,y,t},{x,z,t},{y,z,t}=4=[tex]C_4^3[/tex]
5) {x,y,z,t}=1=[tex]C_4^4[/tex]
1+4+6+4+1=16 submultimi.