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2019 AMC 10BProblem 14P11-15~5 minPrint
Divisibility & FactorsBases & DigitsSplit into exhaustive cases and handle eachSet up the equation/formula and compute; no special trick needed

The base-ten representation for 19!19! is 121,6T5,100,40M,832,H00121,6T5,100,40M,832,H00 , where TT , MM , and HH denote digits that are not given. What is T+M+HT+M+H ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.