COMBINATRICS
Probability
Level
3
find the sum of all 4-digit numbers with no 0 as a digit.
The answer is 36446355.
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1 solution
lets consider this by: 9 * 9 9 9= 6561 there are 6561 digits all in all.. then to get the sum: first, we will add digits from 1-9 which is 45
9 9 9*45=32805->for the first digit
9 9 9*450=328050->for the second digit
9 9 9*4500=3280500->for the third digit
9 9 9*45000=32805000->for the fourth digit......
i f we sum up it is \boxed{36446355}