olymmath

HMMT 2003 C2

  • Combinatorics
  • Answer

You are given a 10×210 \times 2 grid of unit squares. Two different squares are adjacent if they share a side. How many ways can one mark exactly nine of the squares so that no two marked squares are adjacent?

Dataset text NuminaMath olympiads. Quoted with source.

Also HMMT 2003 F5.

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36

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