olymmath

HMMT 2005 S1

  • Team 2
  • Answer

Let 0<m≤n0<m \leq n be integers. How many different (i.e., noncongruent) dominoes can be formed by choosing two squares of an m×nm \times n array?

Dataset text NuminaMath olympiads. Quoted with source.

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m n-\frac{m^{2}-m+2}{2}

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