olymmath

HMMT 2016 C4

  • Combinatorics
  • Answer

Let RR be the rectangle in the Cartesian plane with vertices at (0,0),(2,0),(2,1)(0,0),(2,0),(2,1), and (0,1)(0,1). RR can be divided into two unit squares, as shown; the resulting figure has seven edges.

How many subsets of these seven edges form a connected figure?

Dataset text NuminaMath olympiads. Quoted with source.

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81

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