HMMT November 2008 U20
- Guts
- Answer
You have a die with faces labelled 1 through 6 . On each face, you draw an arrow to an adjacent face, such that if you start on a face and follow the arrows, after 6 steps you will have passed through every face once and will be back on your starting face. How many ways are there to draw the arrows so that this is true?
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
32
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.