AMC 10 Step by Step
2015 AMC 10AProblem 10P1-10~2 minPrint

How many rearrangements of abcdabcd are there in which no two adjacent letters are also adjacent letters in the alphabet? For example, no such rearrangements could include either abab or baba .

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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.