During the Pandemic, the means for transportation is really very difficult, so Pepe bought a bicycle and uses it as his service vehicle to go to his place of work. Unluckily, he forgot the 4-digit lock code of the chain he uses to secure his bicycle. If the code is arranged in a linear pattern, and he only remembers that it has the digits 2, 5, 6, and 9, then (a) List all the possible codes. (b) How many codes are there in all?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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During the Pandemic, the means for transportation is really very difficult, so Pepe bought a bicycle and uses it
as his service vehicle to go to his place of work. Unluckily, he forgot the 4-digit lock code of the chain he uses
to secure his bicycle. If the code is arranged in a linear pattern, and he only remembers that it has the digits 2,
5, 6, and 9, then
(a) List all the possible codes.
(b) How many codes are there in all?

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