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What is the sum of all digits which appear in all the integers from 10 to 100?
855
856
910
911
- To find the sum of all digits from 10 to 100, consider the two-digit numbers in each decade.
- Tens digit contributions:
- 10 to 19: \(1\) appears 10 times.
- 20 to 29: \(2\) appears 10 times.
- Continue this pattern up to 90 to 99.
- Units digit contributions:
- Each digit (0 to 9) appears 10 times for each complete set of ten numbers.
- Do not forget the number 100, which contributes one time for digits \(1\) and \(0\).
Calculate the sum:
- Tens place sum: \( 1*(10) + 2*(10) + 3*(10) + \ldots + 9*(10) = 450 \).
- Units place sum: Sum of 0 to 9 multiplied by 9 + 1 *(from 100) gives \( 45*9 + 1 = 406 \).
Adding both sums, the result is \( 450 + 406 = 856 \).
Option: 856 matches.
# 856
By: sunny bhonsle ProfileResourcesReport error
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