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Harmonic Harness (Posted on 2013-11-27) Difficulty: 4 of 5
Three positive integers are chosen at random without replacement from 1,2,....,72. What is the probability that the numbers chosen are in harmonic sequence?

Order of choice doesn't matter. For example, 6-3-2 would qualify as numbers in harmonic sequence.

Bonus Question:

Generalize this result (in terms of n) covering the situation where three positive integers are chosen at random without replacement from 1,2,...,n.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some ThoughtsSome thoughts on the bonustomarken2014-02-28 18:49:43
Solutioncomputer solution and extension, but not the bonusCharlie2013-11-27 16:45:02
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