MathDB
2020 BMT Team 10

Source:

January 9, 2022
floor functionnumber theory

Problem Statement

How many integers 100≤x≤999100 \le x \le 999 have the property that, among the six digits in ⌊280+x100⌋\lfloor 280 + \frac{x}{100} \rfloor and xx, exactly two are identical?
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