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Note:1h032a is invalid because the second letter is not 1. 314g05 is valid because there is one lowercase letter, no digits are repeated, the second letter is 1 and the last letter is a digit.

Students are required to create 6-character long passwords to access the library. The letters must be from lowercase letters or digits. Each password must contain at most two lowercase letters and contain no repeated digits. The second letter must be always “1” and the last letter always must be a digit. How many valid passwords are there? You are required to show your work step-by-step. [4 marks]

Note:1h032a is invalid because the second letter is not 1. 314g05 is valid because there is one lowercase letter, no digits are repeated, the second letter is 1 and the last letter is a digit.

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