Problem

TopsOJ Summer 2025 - Individual Round - Problem 9

T, O, P, S, and J are distinct digits from 0 to 9. Given that \underline{T} ~\underline{O}~ \underline{P} ~\underline{S} + \underline{O} ~\underline{J} =8099, where leading zeros are permitted (i.e. T or O may equal 0) compute the number of possible values of the number \underline{T} ~\underline{O}~ \underline{P} ~\underline{S} ~ \underline{O} ~\underline{J}.


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