AMC 10 Step by Step
2004 AMC 10AProblem 2P1-10~2 minPrint

For any three real numbers aa , bb , and cc , with bcb\neq c , the operation \otimes is defined by: (a,b,c)=abc\otimes(a,b,c)=\frac{a}{b-c} What is ((1,2,3),(2,3,1),(3,1,2))\otimes(\otimes(1,2,3),\otimes(2,3,1),\otimes(3,1,2)) ?

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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.