How many non-negative integers less than
10,000 are there such that the sum of the
digits of the number is divisible by three?
2. 2213
3. 2223
4. 3334
with whole solution please
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|{x : 1≤x≤n and x is divisible by k}|=⌊nk⌋
Noting that 0 is also considered non-negative and is not counted in the set above, you see that in your case you have ⌊100003⌋+1= ****3334******
non-negative integers less than (or less than or equal) to 10000.
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