Your local pizza parlor has four (4) sizes of crust (personal, medium, large, and family), two (2) types of crust (New York thin and Chicago deep dish), seven (7) toppings from which to select (pepperoni, sausage, chicken, bacon, tofu, mushroom, and spinach), and three (3) shakables (Parmesan cheese, red pepper flake, and butter flavor). Shakables come in three packets, one of each type. How many different pizza pies consisting of any two servings of toppings, any one size of pizza, any type of crust, and any of the shak- ables (0, 1, 2, or all 3) could you order if you have no say in how the toppings are placed on the pizza (that is, a small deep-dish pepper- oni and mushroom with red pepper flake is the same as a small deep-dish mushroom and pepperoni with red pepper flake)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Your local pizza parlor has four (4) sizes of
crust (personal, medium, large, and family),
two (2) types of crust (New York thin and
Chicago deep dish), seven (7) toppings from
which to select (pepperoni, sausage, chicken,
bacon, tofu, mushroom, and spinach), and
three (3) shakables (Parmesan cheese, red
pepper flake, and butter flavor). Shakables
come in three packets, one of each type.
How many different pizza pies consisting of
any two servings of toppings, any one size of
pizza, any type of crust, and any of the shak-
ables (0, 1, 2, or all 3) could you order if you
have no say in how the toppings are placed on
the pizza (that is, a small deep-dish pepper-
oni and mushroom with red pepper flake is
the same as a small deep-dish mushroom and
pepperoni with red pepper flake)?
Transcribed Image Text:Your local pizza parlor has four (4) sizes of crust (personal, medium, large, and family), two (2) types of crust (New York thin and Chicago deep dish), seven (7) toppings from which to select (pepperoni, sausage, chicken, bacon, tofu, mushroom, and spinach), and three (3) shakables (Parmesan cheese, red pepper flake, and butter flavor). Shakables come in three packets, one of each type. How many different pizza pies consisting of any two servings of toppings, any one size of pizza, any type of crust, and any of the shak- ables (0, 1, 2, or all 3) could you order if you have no say in how the toppings are placed on the pizza (that is, a small deep-dish pepper- oni and mushroom with red pepper flake is the same as a small deep-dish mushroom and pepperoni with red pepper flake)?
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