General Rule.
If n events are mutually independent then so are their complements and any combination of them.

that is since A,B,C are independent so are A complement, B complement, C complement and any combination of them

Also for any two independent events X and Y: P(X,Y)=P(x)P(Y)

Therefore we are comparing

P(A,B, C complement) with p(1-p)

Quantity A
=P(A,B, C complement)
=P(A)P(B)P(C complement) (Since they are independent)
=P(A)P(B)(1-P(C))
=p*p*(1-p)
=p*QuantityB

Notice Quantity A is p* Quantity B

p is between 0 and 1.
Whenever we multiply a positive number by a number between 0 and 1 it always makes it smaller
Therefore
p(1-p) is larger than p*p*(1-p)

Final Answer: B