Consider the following sets, where U represents a universal set:

$U=\{1,2,\{1\},\{2\},\{1,2\}\}A=\{1,2,\{1\}\}B=\{\{1\},\{1,2\}\}C=\{2,\{1\},\{2\}\}$

Which one of the following sets represents both $P(A)P(B)$ and $P(AB)?$

Select one:

a$.\{\{1\}\}$

b$.\{\frac{O}{,}\{\{1\}\}\}$

c$.\{\frac{O}{,}\{1\}\}$

d$.$ Not one of the above alternatives since $P(A)P(B)P(AB)$