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.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 35SE: The set, S consists of 900,000000 whole numbers, each being the same number of digits long. How many...
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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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