Problem 6 A vending machine dispensing books of stamps accepts only one-dollar coins, $1 bills,and $5 bills.1. Find a recurrence relation for the number of ways to deposit n dollars in the vending machine,where the order in which the coins and bills are deposited matters.2. What are the initial conditions?3. How many ways are there to deposit $10 for a book of stamps?

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rence relation for the number of ways to deposit n dollars in the der in which the coins and bills are deposited matters. e initial conditions? ways are there to deposit $10 for a book of stamps?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Question

Problem 6 A vending machine dispensing books of stamps accepts only one-dollar coins, $1 bills,
and $5 bills.
1. Find a recurrence relation for the number of ways to deposit n dollars in the vending machine,
where the order in which the coins and bills are deposited matters.
2. What are the initial conditions?
3. How many ways are there to deposit $10 for a book of stamps?

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