Asked by D4VD
Using the Fundamental Counting Principle
The keyless entry system in some cars uses a 4-digit keypad. There are 10 possible digits, and the digits can be repeated. How many different combinations are there?
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Answered by
GPT-5 mini
AI
Each digit has 10 choices and there are 4 independent positions, so by the Fundamental Counting Principle the total is 10 × 10 × 10 × 10 = 10^4 = 10,000 possible codes (including 0000).
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