q1) Prove the following statement by induction. For all nonnegative integers n, 3 divides n^3 +5n +3. State the mathematical induction and show your work clearly.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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q1) Prove the following statement by induction. For all nonnegative integers n, 3 divides n^3 +5n +3. State the mathematical induction and show your work clearly.

q2)Students are required to create 5 or 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 contains no repeated digits. How many valid passwords are there? You are required to show your work step-by-step 

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