Suppose 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 getting all 8) How many possibilities are there for your two pizzas?

Answer: My answer is $\binom{4}{2}+\binom{4}{2}*2*(8+28+56+70+56+28+8+1 )=3066$ possibilities are there for ordering my two pizzas.