How many different pizzas can be ordered if the restaurant offers 15 different toppings and there is no limit to the number of toppings on the pizza

Answer 1

If there are no limits to the number of toppings on a pizza, then each topping can either be chosen or not chosen for inclusion on the pizza.

For each topping, there are two possibilities: it can be chosen or not chosen. This means that for each topping, there are 2 options.

Since there are 15 different toppings, there will be a total of 2^15 = 32,768 different possible combinations of toppings. Therefore, there can be 32,768 different pizzas that can be ordered.