possible pizza orders You are ordering two pizzas. A pizza can be small, medium, large, or extra large, with any combination of 8 possible toppings (getting no toppings is allowed, as is gettting all 8). How many possibilities are there for your two pizzas?
Would it be ${\large[}4{\large[}{8\choose8}+{8\choose7}+{8\choose6}+{8\choose5}+{8\choose4}+{8\choose3}+{8\choose2}+{8\choose1}+{8\choose0}{\large]}{\large]}^2$

there are 4 possible choices for pizza sizes 
and the different combinations of all pizza toppings is the power set of 8 which is $2^8$ 
so the amount of possibilities is $4 \times 2^8$ for one pizza 
the combinations for two pizzas would be ($4 \times 2^8)^2$
this is equivalent to your answer
