Pizza Place Combinations
Kenneth’s Pizza Place! Pizza! Pizza! At my pizzeria, I allow customers to choose any
number of toppings from my list and create pizzas like my bestseller “Choose 3” or the
goliath “the Dozen”. I would like to make a new commercial and show how many
different pizza combinations can be made. I need your help for me to know how many
possible outcomes can be made.
                         Kenneth’s List of Condiments
                       Meats                                   Veggies/Fruit
        Pepperoni              Ground Beef             Tomatoes                Banana Peppers
     Italian Sausage             Chicken               Mushrooms                Green Peppers
           Bacon                Anchovies                Olives                    Onions
                                                       Pineapples                  Spinach
Calculate the possible combinations of different pizzas based on the ingredients provided. These are
all combination questions, the order of the ingredients do not matter. Use the list of ingredients to
complete determine the possible options for each pizza. (SHOW YOUR SOLUTION)
                                                       Possible Options
      Simple
  Choose 1 Topping
         Choose 3
       (Best Seller!)
   Choose Any 3 Toppings
       Meat Beast
    Choose Any 4 Meats
        Vegginator
       Choose Any 5
       Veggies/Fruit
       The Dozen
  Choose Any 12 Toppings
      Deuce Deuce
   Choose 2 Meats and 2
      Veggies/Fruit
    The Balanced Beast
   Choose 4 Meats and 4
       Veggies/Fruit
                                       Layers of Lasagna
                     In addition to my famous pizza pie, Kenneth’s Pizza Place serves up its award-
                     winning lasagna. The customer decides the order the layers are stacked and
                     believe me, the Noodles, Italian Sausage, Ricotta Cheese option tastes different
                     than the Noodles, Ricotta Cheese, Italian Sausage Option. Much of my pizza
                     place’s magic is the way the layers interact with each other! I’m also planning for
                     a commercial that focus on my lasagna options.
Help me to determine how many lasagnas my customers can have. The customers can choose each
layer only once. The top and the bottom of each lasagna is layered with Lasagna noodles so they do
not need to be factored into the choice options.
                                   Kenneth’s Lasagna
                Meats                         Vegetables                               Cheese
             Italian Sausage                  Roma Tomatoes                        Ricotta Cheese
               Ground Beef                        Onion                          Mozzarella Cheese
                Pepperoni                        Peppers                         Parmesan Cheese
Calculate the possible permutations of different lasagna layers based on the ingredients provided. These are
all permutation questions, when layering the lasagna, order does matter. (SHOW YOUR SOLUTION)
                   (Chefs may disagree, but I think ways the layers interact is the key. HAHA)
                                                            Possible Options
            Simple
         Choose 1 Layer
     Choose 3 (Best Seller!)
      Choose Any 3 Layers
         Carne Lovers
    Choose Any 2 Meat Layers
        Cheese & Veg
    Choose Any 3 Veggies or
        Cheese Layers
           Mongo
      Choose Any 7 Layers
          The Works
       Choose All 9 Layers
     Deuce Deuce Deuce
   Choose 2 Meats, 2 Veggies
        and 2 Cheeses
                   Your Own Pizzeria
After years of developing your perfect crust and sauce, you’ve finally rented a space and
are going to be able to open your own pizzeria! In this project, you will need to construct
menu options for your pizza and lasagna offerings. You will need to select ingredients as well as create
five pizza and five lasagna specialties. Before you start, you’ll need to have a snazzy pizzeria name!
In the table, choose a pizzeria name and list the ingredients that you will provide at your store. You
will need to put the ingredients into categories so it’s clear what choices the customers have.
 Pizzeria Name:
From the ingredients list, construct five specialty pizzas and determine the possible options. Your
specialty pizzas must allow your customers to make choices. You will use the possible options to
advertise on your menu.
              Specialty Pizzas                                   Possible Options
         From the ingredients list construct five specialty lasagna options and determine
         the possible options. Your specialty lasagna must have customers select different
         ingredients for each layer and they cannot select the same ingredient more than
         once. You will use the possible options to advertise on your menu.
           Specialty Lasagnas                                  Possible Options
1. Which pizza and which lasagna provide your customers with the most options?
2. Is there a way to increase the number of options? Explain how this could be done.
3. On your menu, you will be able to have a special feature section for one pizza and one lasagna.
   Choose which items you will use for these special sections and explain why.
The Menu
Name: ___________________
Section: _________________
                                       Rubrics for Scoring
    Criteria              15                    13                   10                    8
    Solution       95-100% of the         Almost all 90-     Most (85-89.99%)     More than 84.99%
   & Answers         steps and            94.99%) of the      of the steps and     of the steps and
                   solutions have           steps and        solutions have no      solutions have
                     No errors.         solutions have No          errors.              Errors.
                                              errors.
                          3                      2                    1                    0
                   Excellent use of     Good use of color.   Too many different   The presentation
    Creativity    color. One wanted       The menu part         colors used.      of the worksheets
   (Menu Part)    to keep looking at     was easy to look                               is dull.
                      menu part                 at.
                           7                    6                     5                    4
                   Excellent use of     Good use of color.   Too many different   The presentation
   Creativity &
                  color. One wanted      The project was        colors used.      of the worksheets
    Neatness
                  to keep looking at     easy to look at.                               is dull.
                      the project.
                           5                     4                   3                     2
                     The work is            The work is          The work is      The work appears
                    presented in a        presented in a      presented in an         sloppy and
    Neatness          neat, clear,           neat and        organized fashion    unorganized. It is
                  organized fashion     organized fashion    but may be hard to   hard to know what
                    that is easy to       that is usually      read at times.      information goes
                         read.             easy to read.                               together.
                                                                              /30