2006 10B 11 · AMC 10 Step by Step

AMC 10 Step by Step

2006 AMC 10BProblem 11P11-15~3 minPrint

Modular Arithmetic Divisibility & Factors Bound the quantity above/below or estimate to pin it down Set up the equation/formula and compute; no special trick needed

What is the tens digit in the sum $7!+8!+9!+...+2006!$

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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.