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In base b, there are exactly one hundred three-digit numbers whose digits are all distinct. (That's "one hundred" in the ordinary sense, 100 base 10.)

What is b?

 Aug 9, 2021
 #2
avatar+114539 
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In base 10 there are 10 distinct digits    0,1,2,3,4,5,6,7,8,9

In base 3 there are 3 distinct digits  0,1,2

In base 27 there are 27 distinct digits

Now you can answer yourself

 Aug 10, 2021

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