Question: Combinatorics question: 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

Combinatorics question:

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?

A. 10

B. 18 C. 24

D. 32

E. 44

Thanks

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