A pizza vendor offers the following items to top a cheese pi

A pizza vendor offers the following items to top a cheese pizza:

Meats:            Pepperoni, Sausage, Ham, Bacon, Chicken, Beef

Veggies:         Onions, Green Peppers, Banana Peppers, Green Olives, Black Olives

Other:            Mushrooms, Anchovies, Pineapple

How many one-topping pizzas are possible?

How many pizzas are possible with one topping from each of the three groups?

How many pizzas are possible with two items from each group?

How many three item pizzas are possible?

How many pizzas are possible, regardless of number of toppings (assume each is only chosen once)? Hint: one choice is “cheese only”, i.e. all toppings are not chosen.

Solution

a) we have 3 different top so we have 3 possibles pizza for one topping

b) we have 14 different topping, 6 for meats, 5 for veggies and 3 for others so we have 14 differents pizza

6 different pizza for meats

5 different pizzas for veggies

3 different pizzas for others

c)

for meats: we have 6 different toppings and we will select 2 for 1 pizza

6C2= 15

we have 15 different pizza for meats

for veggies we have 5 different toppings and we will select 2 for 1 kind of pizza

5C2=10

we have 10 different pizza for veggies

for others 3C2=3 we will have 3 different kind of pizza

d)

meats : 6C3=20 different pizza for meats

veggies: 5C3=10 different pizza for veggies

others: 3C3=1 different pizza for others

e)

there are 15 different pizza for only chosen including cheese only