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

A pizza vendor offers the following items to top a cheese pizza: (show work)

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

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

Other:            Mushrooms, Anchovies, Pineapple

A. How many one-topping pizzas are possible?

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

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

D. How many three item pizzas are possible?

E. 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.

6 meats + 5 veggies + 3 other = 14 pizzas [answer]

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B.

With one topping on each group, by fundamental principle of counting,

6 meats * 5 veg * 3 other = 90 pizzas [answer]

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