olymmath

HMMT November 2010 U30

  • Guts
  • Answer

In the game of projective set, each card contains some nonempty subset of six distinguishable dots. A projective set deck consists of one card for each of the 63 possible nonempty subsets of dots. How many collections of five cards have an even number of each dot? The order in which the cards appear does not matter.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

109368

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmnt/2010/u30 · Tag 7KQWC1W3F1 · Edit this page on GitHub · Keys: j next, k previous