QUESTION IMAGE
Question
type the correct answer in the box. use numerals instead of words.
how many possible 3 - digit area codes exist if 0 can’t be the first digit, but digits can repeat?
a total of
different 3 - digit area codes exist.
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Step1: Determine first digit options
The first digit can't be 0, so it has 9 options (1 - 9).
Step2: Determine second digit options
Digits can repeat, so the second digit has 10 options (0 - 9).
Step3: Determine third digit options
Similarly, the third digit has 10 options (0 - 9).
Step4: Calculate total number of area codes
Using the multiplication principle, total = 9 × 10 × 10 = 900.
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900