Question
We will use generating functions to determine how many ways there are to use pennies, nickels, dimes, quarters, and half-dollars to give n cents change.
We will use generating functions to determine how many ways there are to use pennies, nickels, dimes, quarters, and half-dollars to give n cents change.
(a) Write the generating function P(x) for the number of ways to use only pennies to make n cents.
(b) Write the generating function N(x) for the number of ways to use only nickels to make n cents.
(c) Write the generating function for the number of ways to use only nickels and pennies to change n cents.
(d) Write the generating function for the number of ways to use pennies, nickels, dimes, quarters, and half-dollars to give n cents change.
(e) Explain how to use this function to find out how many ways are there to change 50 cents; you do not have to provide the answer or actually carry out the process.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started
Elementary Statisitcs
Authors: Barry Monk
2nd edition
1259345297, 978-0077836351, 77836359, 978-1259295911, 1259295915, 978-1259292484, 1259292487, 978-1259345296
