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Of the first 1000 natural numbers, how many of them have at least one zero, when expressed in base 7? Thank you for help.

 Feb 3, 2020
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You have 6 numbers between 10 and 60 =6

You have 13 numbers between 100 and 200 =13

13  x  6 = 78 numbers

You have  1 number for 1000.

So: 6 + 78 + 1 = 85 such numbers.

 Feb 3, 2020

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