olymmath

HMMT 2018 C4

  • Combinatorics
  • Answer

How many ways are there for Nick to travel from (0,0)(0,0) to (16,16)(16,16) in the coordinate plane by moving one unit in the positive xx or yy direction at a time, such that Nick changes direction an odd number of times?

Dataset text NuminaMath olympiads. Quoted with source.

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2 \cdot\binom{30}{15}=310235040

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Locator hmmt/2018/c4 · Tag HQNRPJAACE · Edit this page on GitHub · Keys: j next, k previous