A bus driver pays all tolls using only nickels and dimes by throwing one coin at a time into the mechanical toll collector. Find a recurrence relation for the number of different ways the bus driver can pay a toll of n cents, where the order in which the coins are used matters. (You must provide an answer before moving to the next part.) Multiple Choice an=5an-1+an - 2, where an is the number of ways to pay a toll of 5n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of 5n cents, n≥2. an=5an-1+an - 2, where an is the number of ways to pay a toll of n cents, n≥2. A country uses coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos as its currency. Find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters. Multiple Choice an-an-1+2an-2+ an-5+2an - 10 + an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+2an-2+3an - 5 + 4an - 10 + an- 20+ an- 50+ an - 100, for n≥ 100 an-an-1+2an - 2+ an- 5 + 2an - 10 + 2an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+ an-2+2an-5+2an - 10+ an- 20+ an- 50+ an- 100, for n≥ 100
A bus driver pays all tolls using only nickels and dimes by throwing one coin at a time into the mechanical toll collector. Find a recurrence relation for the number of different ways the bus driver can pay a toll of n cents, where the order in which the coins are used matters. (You must provide an answer before moving to the next part.) Multiple Choice an=5an-1+an - 2, where an is the number of ways to pay a toll of 5n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of 5n cents, n≥2. an=5an-1+an - 2, where an is the number of ways to pay a toll of n cents, n≥2. A country uses coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos as its currency. Find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters. Multiple Choice an-an-1+2an-2+ an-5+2an - 10 + an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+2an-2+3an - 5 + 4an - 10 + an- 20+ an- 50+ an - 100, for n≥ 100 an-an-1+2an - 2+ an- 5 + 2an - 10 + 2an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+ an-2+2an-5+2an - 10+ an- 20+ an- 50+ an- 100, for n≥ 100
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:A bus driver pays all tolls using only nickels and dimes by throwing one coin at a time into the mechanical toll collector.
Find a recurrence relation for the number of different ways the bus driver can pay a toll of n cents, where the order in which the coins are used matters.
(You must provide an answer before moving to the next part.)
Multiple Choice
an=5an-1+an - 2, where an is the number of ways to pay a toll of 5n cents, n≥2.
anan-1+ an- 2, where an is the number of ways to pay a toll of n cents, n≥2.
anan-1+ an- 2, where an is the number of ways to pay a toll of 5n cents, n≥2.
an=5an-1+an - 2, where an is the number of ways to pay a toll of n cents, n≥2.
Transcribed Image Text:A country uses coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos as its currency. Find a recurrence
relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters.
Multiple Choice
an-an-1+2an-2+ an-5+2an - 10 + an - 20+ an- 50+ an- 100, for n≥ 100
anan-1+2an-2+3an - 5 + 4an - 10 + an- 20+ an- 50+ an - 100, for n≥ 100
an-an-1+2an - 2+ an- 5 + 2an - 10 + 2an - 20+ an- 50+ an- 100, for n≥ 100
anan-1+ an-2+2an-5+2an - 10+ an- 20+ an- 50+ an- 100, for n≥ 100
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