Math Problem Statement
Each user in a computer system has a password which is 6 to 8 characters long where each character is an uppercase letter or a digit. Each password must contain at least one digit. How many possible passwords are there?
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Permutations and Combinations
Complementary Counting
Formulas
Total possible combinations = (choices for one character)^length
Using complementary counting to subtract invalid cases
Theorems
Complementary Counting Principle
Suitable Grade Level
Grades 10-12
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