Hello, tmas!

A pizza company advertises that it has 15 toppings from which to choose.

There are six vegetable toppings.

e) How many different three-topping pizzas have at least one vegetable?

There are 6 Vegetable toppings and 6 Others.

There are: . possible three-topping pizzas.

The opposite of "at least one vegetable" is "vegetables."no

There are: . three-topiing pizzas withvegetables.no

Therefore, there are: . pizzas with at least one vegetable.

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If you want to list the pizzas with at least one vegetable,

. . be sure you make alist.complete

One vegetable and two Others

, , ways.

Two vegetables and one Other

. . ways.

Three vegetables

. . ways.

Therefore, there are: . vegetarian pizzas.