Case Based Study:
The first level of security requires a three-digit passkey. On Monday, the system administrator releases three "seed digits".
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Task A: The morning shift supervisor needs to set the greatest possible three-digit number using these digits to activate the high-voltage systems.
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Task B: The maintenance crew uses the smallest possible three-digit number to access the low-energy storage area.
1. Use the digits 5, 6, 1 to form the three-digit number.
The greatest three digit number formed \(=\) .
The smallest three digit number formed \(=\) .
The main vault requires a higher level of complexity. The system provides only three digits, but the keypad requires a four-digit entry. To solve this, the protocol allows you to repeat any one digit twice.
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Task C: To lock the vault for the weekend, the security head must form the greatest four-digit number possible by repeating the most effective digit.
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Task D: To perform a "soft reset" of the system, a technician must input the smallest four-digit number possible using the same rules.
2. Use the digits 8, 1, 5 to form four-digit number by taking any one digit twice.
The greatest four digit number formed \(=\) .
The smallest four digit number formed \(=\) .