You get to choose a 6 digit PIN for your new account. A restriction on the PIN is that no more than four consecutive digits can be the same. For example 322222 and 222222 are forbidden because they both contain more than four consecutive 2’s. On the other hand, 232222 is acceptable. Determine the number of ways you can choose a PIN, and explain your answer carefully.
You get to choose a 6 digit PIN for your new account. A restriction on the PIN is that no more than four consecutive digits can be the same. For example 322222 and 222222 are forbidden because they both contain more than four consecutive 2’s. On the other hand, 232222 is acceptable. Determine the number of ways you can choose a PIN, and explain your answer carefully.
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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You get to choose a 6 digit PIN for your new account. A restriction on the PIN is that no more than four consecutive digits can be the same. For example 322222 and 222222 are forbidden because they both contain more than four consecutive 2’s. On the other hand, 232222 is acceptable. Determine the number of ways you can choose a PIN, and explain your answer carefully.
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