AIME 1988 Problem 1
- Paper
- Answer
One commercially available ten-button lock may be opened by pressing -- in any order -- the correct five buttons. The sample shown below has as its combination. Suppose that these locks are redesigned so that sets of as many as nine buttons or as few as one button could serve as combinations. How many additional combinations would this allow?
Dataset text AIME 1983 to 2026. Quoted with source.
Show the answer
770
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.