hard · GMAT Quant

An automated sorting machine creates a 5-item package using items of weight classes Light (L), Medium (M), and Heavy (H). Sorting rules state that item 1 cannot be Heavy (H), item 5 cannot be Light (L), Medium (M) cannot be immediately followed by Heavy (H), and adjacent items cannot belong to the same weight class.

How many valid 5-item package sequences exist?

  1. 5
  2. 8
  3. 13
  4. 16
  5. 32

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