Boos Anonymous, a support group for poltergeists recovering from exorcisms on Halloween, is trying to reform the public image of ghosts by giving away n pieces of candy to children. The group has an unlimited supply of 4 types of candy - Reese’s Cups, Snickers, Milky Ways, and Kit Kats. Assume that all candy of the same type is identical and that the poltergeists must distribute the four types of candy with the following simultaneous restrictions: at least 3 Reese’s Cups between 5 and 13 Snickers bars less than 9 Kit Kats Create a generating function that represents the number of ways to distribute n pieces of candy. Justify your answer by first stating an integer equation (including restrictions) modeling the posed combinatorial problem.
Boos Anonymous, a support group for poltergeists recovering from exorcisms on Halloween, is trying to reform the public image of ghosts by giving away n pieces of candy to children. The group has an unlimited supply of 4 types of candy - Reese’s Cups, Snickers, Milky Ways, and Kit Kats. Assume that all candy of the same type is identical and that the poltergeists must distribute the four types of candy with the following simultaneous restrictions: at least 3 Reese’s Cups between 5 and 13 Snickers bars less than 9 Kit Kats Create a generating function that represents the number of ways to distribute n pieces of candy. Justify your answer by first stating an integer equation (including restrictions) modeling the posed combinatorial problem.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Boos Anonymous, a support group for poltergeists recovering from exorcisms on Halloween, is trying to reform the public image of ghosts by giving away n pieces of candy to children. The group has an unlimited supply of 4 types of candy - Reese’s Cups, Snickers, Milky Ways, and Kit Kats. Assume that all candy of the same type is identical and that the poltergeists must distribute the four types of candy with the following simultaneous restrictions:
- at least 3 Reese’s Cups
- between 5 and 13 Snickers bars
- less than 9 Kit Kats
Create a generating function that represents the number of ways to distribute n pieces of candy. Justify your answer by first stating an integer equation (including restrictions) modeling the posed combinatorial problem.
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