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Hungarian tram and bus tickets have 9 possible locations for holes. Passengers need to validate their tickets on their own using a punching machine that creates holes on the ticket. Transportation officials randomly travel around town and ask for the passengers' validated tickets. The tickets do not expire, In theory, the ticket needs to be inserted into the punching machine

Hungarian tram and bus tickets have 9 possible locations for holes. Passengers need to validate their tickets on their own using a punching machine that creates holes on the ticket. Transportation officials randomly travel around town and ask for the passengers' validated tickets. The tickets do not expire, In theory, the ticket needs to be inserted into the punching machine

A First Course in Probability (10th Edition)
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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Hungarian tram and bus tickets have 9 possible locations for holes. Passengers need to validate their tickets on their own using a punching machine that creates holes on the ticket. Transportation officials randomly travel around town and ask for the passengers' validated tickets. The tickets do not expire. In theory, the ticket needs to be inserted into the punching machine with the red arrow on top. In practice, this does not matter since the officials do not care about the direction. So, inserting the ticket with the red arrow on the bottom creates the same ticket. A fee evader wants to collect every possible validated ticket and use the appropriate one every time he/she travels. How many different validated tickets are needed if every punching machine in town creates 4 holes on a ticket? The fee evader needs to collect 126 tickets.
Transcribed Image Text:Hungarian tram and bus tickets have 9 possible locations for holes. Passengers need to validate their tickets on their own using a punching machine that creates holes on the ticket. Transportation officials randomly travel around town and ask for the passengers' validated tickets. The tickets do not expire. In theory, the ticket needs to be inserted into the punching machine with the red arrow on top. In practice, this does not matter since the officials do not care about the direction. So, inserting the ticket with the red arrow on the bottom creates the same ticket. A fee evader wants to collect every possible validated ticket and use the appropriate one every time he/she travels. How many different validated tickets are needed if every punching machine in town creates 4 holes on a ticket? The fee evader needs to collect 126 tickets.
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