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How many 4-digit numbers are there in base 6?

 Apr 29, 2022
 #1
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The lowest number is \(1000_6\) (216).

 

The largest number is \(5555_6\) (1295).

 

Thus, there are \(1295 - 216+1=\color{brown}\boxed{1080}\)

 Apr 29, 2022

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