Question

A pizza place offers 4 different cheeses and 10 different toppings. In how many ways can a pizza be made with 2 cheese and 3 toppings?

Answer 1

There is a total of 4 different cheeses and 10 different toppings.

From the 4 cheeses we are to select 2 cheeses.

To select the 1st cheese, we have 4 possibilities

To select the 2nd cheese, we have 3 possibilities left

Total = 4 * 3 = 12


From the 10 different toppings we are to select 3 cheeses.

To select the 1st topping, we have 10 possibilities

To select the 2nd topping, we have 9 possibilities left

To select the 3rd topping, we have 8 possibilities left

Total = 10 * 9 * 8 = 720

So the total number of ways pizza can be made:

= 12 * 720 = 8640

= 8640 ways.

Answer 2

Six ways, I believe..