AMC 10 Step by Step
2018 AMC 10BProblem 3P1-10~2 minPrint

In the expression (×)+(×)\left(\underline{\qquad}\times\underline{\qquad}\right)+\left(\underline{\qquad}\times\underline{\qquad}\right) each blank is to be filled in with one of the digits 1,2,3,1,2,3, or 4,4, with each digit being used once. How many different values can be obtained?

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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.