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How many copies of the digit 0 are there among the digits of the first 2016 positive integers?

 May 24, 2021
 #1
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"Positive integers" do not include the number 0. Keeping this in mind we get:

 

1 digit: 0

2 digit: 10, 20, 30, ..., 90 => 9

3 digit: _00, _01, _02, ..., _09, _10, _20, ..., _90 => 20*9 = 180

4 digit: (try to do this one by yourself)

 

Add the cases together to get the final answer.

 May 24, 2021

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