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2021 AMC 10A Question 20

AMC10 · 2021 AMC 10A

Question 20

In how many ways can the sequence $1,$ $2,$ $3,$ $4,$ $5$ be rearranged so that no three consecutive terms are increasing and no three consecutive terms are decreasing?
  1. $10$
  2. $18$
  3. $24$
  4. $32$
  5. $44$