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2021 AMC 10A Problem 20

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2021 AMC 10A Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Arrangements with Restrictions · difficulty 4 of 5 · about 6 min · position P16-20

In how many ways can the sequence 1,2,3,4,51, 2, 3, 4, 5 be rearranged so that no three consecutive terms are increasing and no three consecutive terms are decreasing?

  1. A)

    1010

  2. B)

    1818

  3. C)

    2424

  4. D)

    3232

  5. E)

    4444

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