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2015 AMC 10A Question 10

AMC10 · 2015 AMC 10A

Question 10

How many rearrangements of $abcd$ are there in which no two adjacent letters are also adjacent letters in the alphabet? For example, no such rearrangements could include either $ab$ or $ba.$
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$