Imagine you are the owner of a pizza shop that offers three

Imagine you are the owner of a pizza shop that offers three different types of crusts, seven different toppings and three different cheeses. Create an advertisement for your shop with three lists: one for crusts, another for toppings, and a third for cheeses. In your advertisement, emphasize a special where any three-topping pizza with one type of cheese and one type of crust costs only $9.99. Complete this statement and include it on your advertisement:

Solution

Special Pizza contains 3 toppings, one type of cheese and one crust

We can choose 3 toppings in 7C3 ways

We can choose 1 crust in 3C1 ways

We can choose 1 cheeze type in 3C1 ways

Hence total number of favorite pizzas possible

= 7C3 * 3C1 * 3C1

= (7!)/(4!3!) * 3 * 3

= 35 * 3 * 3

= 315 ways