Question

A restaurant has 

6

 pizza toppings to choose from. How many different 

3

-topping pizzas are possible

Answer 1

There are 20 different 3-topping pizzas possible.

Step-by-step explanation:

To find the number of different 3-topping pizzas possible, we need to use combinations. A combination is a selection of items where the order does not matter. In this case, we have 6 toppings to choose from and we need to choose 3 of them to make a pizza. We can use the formula for combinations, which is:

C(n, r) = n! / (r!(n-r)!)

Where n is the total number of items and r is the number of items we want to choose.

Using this formula, we can calculate the number of different 3-topping pizzas possible:

C(6, 3) = 6! / (3!(6-3)!)

C(6, 3) = 6! / (3! * 3!)

C(6, 3) = (6 * 5 * 4) / (3 * 2 * 1)

C(6, 3) = 20

Therefore, there are 20 different 3-topping pizzas possible.

Answer 2

you can make 18 different pizzas