Resposta :
Existem [tex]2^3 = 8[/tex] subconjuntos. São eles:
S = {{},{1},{4},{6},{1,4},{1,6},{4,6},{1,4,6}}
[tex]S = \left\{\left\{\right\},\left\{1\right\},\left\{4\right\},\left\{6\right\},\left\{1,4\right\},\left\{1,6\right\},\left\{4,6\right\},\left\{1,4,6\right\}\right\}[/tex]