Question
Pete's Pizzeria offers 30 different pizza toppings.
How many 3 topping pizzas are possible (assuming the toppings are distinct)?
If we allow any number of toppings (all distinct), including none, how many different pizzas are possible?
How many 3 topping pizzas are possible (assuming the toppings are distinct)?
If we allow any number of toppings (all distinct), including none, how many different pizzas are possible?
Answers
C(30,3) = 4060
any number means some subset of the power set of 30 elements. That is
2^30 = 1,073,741,824
any number means some subset of the power set of 30 elements. That is
2^30 = 1,073,741,824
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