Answer the following questions about a deli system in a grocery store. Within the system, every customer is given an integer ID. They can then choose from a variety of meats, which are also given integer IDs. These IDs start with 1 and increment by 1. That is, if there is a customer with ID equal to 6, there must be customers with IDs equal to 1, 2, 3, 4, and 5. The same restriction applies to the IDs of the meats. There is no limit to how many customers can choose the same meat. For example, if there are 6 customers, they can all choose meat 4. (a) Consider the customers with IDs ranging from p to q, inclusive, where p ≤ q and consider the meats with IDs ranging from r to s inclusive, where r ≤s. How many distinct functions for assigning these customers to meats are there? (The customers are the domain and the meats are the codomain) (b) Consider the customers and meats with IDs ranging from p to q inclusive, where p ≤ q. How many distinct functions for assigning customers to meats are there, such that every customer is assigned a meat with an ID that is less than or equal to their ID?
Answer the following questions about a deli system in a grocery store. Within the system, every customer is given an integer ID. They can then choose from a variety of meats, which are also given integer IDs. These IDs start with 1 and increment by 1. That is, if there is a customer with ID equal to 6, there must be customers with IDs equal to 1, 2, 3, 4, and 5. The same restriction applies to the IDs of the meats. There is no limit to how many customers can choose the same meat. For example, if there are 6 customers, they can all choose meat 4. (a) Consider the customers with IDs ranging from p to q, inclusive, where p ≤ q and consider the meats with IDs ranging from r to s inclusive, where r ≤s. How many distinct functions for assigning these customers to meats are there? (The customers are the domain and the meats are the codomain) (b) Consider the customers and meats with IDs ranging from p to q inclusive, where p ≤ q. How many distinct functions for assigning customers to meats are there, such that every customer is assigned a meat with an ID that is less than or equal to their ID?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Answer the following questions about a deli system in a grocery store. Within the
system, every customer is given an integer ID. They can then choose from a variety of meats,
which are also given integer IDs. These IDs start with 1 and increment by 1. That is, if there
is a customer with ID equal to 6, there must be customers with IDs equal to 1, 2, 3, 4, and 5.
The same restriction applies to the IDs of the meats. There is no limit to how many customers
can choose the same meat. For example, if there are 6 customers, they can all choose meat 4.
(a) Consider the customers with IDs ranging from p to q, inclusive, where p< q and consider
the meats with IDs ranging from r to s inclusive, where r < s. How many distinct functions
for assigning these customers to meats are there? (The customers are the domain and the
meats are the codomain)
(b) Consider the customers and meats with IDs ranging from p to q inclusive, where p < q.
How many distinct functions for assigning customers to meats are there, such that every
customer is assigned a meat with an ID that is less than or equal to their ID?
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