You're making sandwiches for your cousins, who are trying out new diets. You have 5 different proteins, 3 cheeses, 6 regular dressings and 2 low-fat dressings. Suppose you have infinite servings of each (or at least enough to feed your hungry cousins). 1. State the relevant sets and their cardinalities. Answer: Your older cousin wants one serving of protein on top of one serving of dressing (either regular or low-fat). How many options do they have? Show how you arrived at your solution. I. Answer: Your younger cousin wants five servings of protein on top of two servings of cheese on top of one serving of low-fat dressing. They're happy to repeat any protein and any cheese any number of times (e.g. 5 servings of turkey and 2 servings of swiss would be fine). How many options do they have? Show how you arrived at your solution. Note that different orders of the proteins/cheeses yield different options. For example, turkey-turkey-turkevturkey-beef-swiss- cheddar-lowfatRanch is different from beef-turkey-turkey-turkey-turkevswiss-cheddar- lowfatRanch, which are both different from turkey-turkey-turkey-turkey-beefcheddar-swiss- lowfatRanch. II. Answer

You're making sandwiches for your cousins, who are trying out new diets. You have 5 different proteins, 3 cheeses, 6 regular dressings and 2 low-fat dressings. Suppose you have infinite servings of each (or at least enough to feed your hungry cousins). 1. State the relevant sets and their cardinalities. Answer: Your older cousin wants one serving of protein on top of one serving of dressing (either regular or low-fat). How many options do they have? Show how you arrived at your solution. I. Answer: Your younger cousin wants five servings of protein on top of two servings of cheese on top of one serving of low-fat dressing. They're happy to repeat any protein and any cheese any number of times (e.g. 5 servings of turkey and 2 servings of swiss would be fine). How many options do they have? Show how you arrived at your solution. Note that different orders of the proteins/cheeses yield different options. For example, turkey-turkey-turkevturkey-beef-swiss- cheddar-lowfatRanch is different from beef-turkey-turkey-turkey-turkevswiss-cheddar- lowfatRanch, which are both different from turkey-turkey-turkey-turkey-beefcheddar-swiss- lowfatRanch. II. Answer

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Description: Sandwich MakingYou're making sandwiches for your cousins, who are trying out new diets. You have 5 different proteins,3 cheeses, 6 regular dressings and 2 low-fat dressings. Suppose you have infinite servings of each (or atleast enough to feed your

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Sandwich Making
You're making sandwiches for your cousins, who are trying out new diets. You have 5 different proteins,
3 cheeses, 6 regular dressings and 2 low-fat dressings. Suppose you have infinite servings of each (or at
least enough to feed your hungry cousins).
I.
State the relevant sets and their cardinalities.
Answer:
I.
Your older cousin wants one serving of protein on top of one serving of dressing (either regular
or low-fat). How many options do they have? Show how you arrived at your solution.
Answer:
III.
Your younger cousin wants five servings of protein on top of two servings of cheese on top of
one serving of low-fat dressing. They're happy to repeat any protein and any cheese any number
of times (e.g. 5 servings of turkey and 2 servings of swiss would be fine). How many options do
they have? Show how you arrived at your solution. Note that different orders of the
proteins/cheeses yield different options. For example, turkey-turkey-turkevturkey-beef-swiss-
cheddar-lowfatRanch is different from beef-turkey-turkey-turkey-turkeyswiss-cheddar-
lowfatRanch, which are both different from turkey-turkey-turkey-turkey-beefcheddar-swiss-
lowfatRanch.
Answer

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