HMMT 2006 F8
- General 2
- Answer
Six people, all of different weights, are trying to build a human pyramid: that is, they get into the formation
A B C D E F
We say that someone not in the bottom row is "supported by" each of the two closest people beneath her or him. How many different pyramids are possible, if nobody can be supported by anybody of lower weight?
Dataset text NuminaMath olympiads. Quoted with source.
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