Brute Force - a product rule for counting puzzle
You have been hired as a junior security analyst. Your job is to calculate how many possible codes or arrangements a brute-force attacker would need to check.
For each mission, ask yourself three questions: how many choices are there at each stage, are repeats allowed, and does the order matter? Multiply the choices carefully โ and watch out for situations where repeated or duplicate arrangements should not be counted.
Brute Force: Security Analyst
System Initialised
Welcome, trainee. You have been recruited as a Junior Security Analyst.
Your objective: evaluate the structural integrity of various security systems by calculating how many possible codes, arrangements, or groups a brute-force attacker would need to check.
We need precise calculations. Familiarise yourself with the basic protocols.
Mission 1.0
Level 1 / 10
- How many choices are there for each stage?
- Are repeats allowed?
- Does the order matter?